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3013240140 = 22325174212339
BaseRepresentation
bin1011001110011010…
…0110010101001100
321202222221110101200
42303212212111030
522132342141030
61215000105500
7134446055451
oct26346462514
97688843350
103013240140
111306993a09
12701165290
1339036bb41
14208291828
1512980bd60
hexb39a654c

3013240140 has 144 divisors (see below), whose sum is σ = 9704953440. Its totient is φ = 754145280.

The previous prime is 3013240133. The next prime is 3013240147. The reversal of 3013240140 is 410423103.

3013240140 is a `hidden beast` number, since 301 + 324 + 0 + 1 + 40 = 666.

3013240140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3013240133) and next prime (3013240147).

It is a super-2 number, since 2×30132401402 = 18159232282614439200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3013240147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1287091 + ... + 1289429.

It is an arithmetic number, because the mean of its divisors is an integer number (67395510).

Almost surely, 23013240140 is an apocalyptic number.

3013240140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852476720).

3013240140 is an abundant number, since it is smaller than the sum of its proper divisors (6691713300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3013240140 is a wasteful number, since it uses less digits than its factorization.

3013240140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3013240140 is about 54892.9880768027. The cubic root of 3013240140 is about 1444.3681884047.

Adding to 3013240140 its reverse (410423103), we get a palindrome (3423663243).

The spelling of 3013240140 in words is "three billion, thirteen million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 421 510 612 765 842 1020 1263 1530 1684 2105 2339 2526 3060 3789 4210 4678 5052 6315 7017 7157 7578 8420 9356 11695 12630 14034 14314 15156 18945 21051 21471 23390 25260 28068 28628 35085 35785 37890 39763 42102 42942 46780 64413 70170 71570 75780 79526 84204 85884 105255 107355 119289 128826 140340 143140 159052 198815 210510 214710 238578 257652 322065 357867 397630 421020 429420 477156 596445 644130 715734 795260 984719 1192890 1288260 1431468 1789335 1969438 2385780 2954157 3578670 3938876 4923595 5908314 7157340 8862471 9847190 11816628 14770785 16740223 17724942 19694380 29541570 33480446 35449884 44312355 50220669 59083140 66960892 83701115 88624710 100441338 150662007 167402230 177249420 200882676 251103345 301324014 334804460 502206690 602648028 753310035 1004413380 1506620070 3013240140