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3204040140 = 2232574915179
BaseRepresentation
bin1011111011111001…
…1100010111001100
322021021222002210100
42332332130113030
523030213241030
61245533411100
7142253614620
oct27676342714
98237862710
103204040140
1113a4662864
12755039a90
133c0a54752
1422575b180
1513b44a360
hexbef9c5cc

3204040140 has 144 divisors (see below), whose sum is σ = 11132110080. Its totient is φ = 730719360.

The previous prime is 3204040127. The next prime is 3204040141. The reversal of 3204040140 is 410404023.

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 (3204040141) 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, 616071 + ... + 621249.

It is an arithmetic number, because the mean of its divisors is an integer number (77306320).

Almost surely, 23204040140 is an apocalyptic number.

3204040140 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 3204040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566055040).

3204040140 is an abundant number, since it is smaller than the sum of its proper divisors (7928069940).

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

3204040140 is a wasteful number, since it uses less digits than its factorization.

3204040140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3204040140 is about 56604.2413605200. The cubic root of 3204040140 is about 1474.2325054356.

Adding to 3204040140 its reverse (410404023), we get a palindrome (3614444163).

The spelling of 3204040140 in words is "three billion, two hundred four million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 491 630 982 1260 1473 1964 2455 2946 3437 4419 4910 5179 5892 6874 7365 8838 9820 10311 10358 13748 14730 15537 17185 17676 20622 20716 22095 25895 29460 30933 31074 34370 36253 41244 44190 46611 51555 51790 61866 62148 68740 72506 77685 88380 93222 103110 103580 108759 123732 145012 154665 155370 181265 186444 206220 217518 233055 309330 310740 326277 362530 435036 466110 543795 618660 652554 725060 932220 1087590 1305108 1631385 2175180 2542889 3262770 5085778 6525540 7628667 10171556 12714445 15257334 17800223 22886001 25428890 30514668 35600446 38143335 45772002 50857780 53400669 71200892 76286670 89001115 91544004 106801338 114430005 152573340 160202007 178002230 213602676 228860010 267003345 320404014 356004460 457720020 534006690 640808028 801010035 1068013380 1602020070 3204040140