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3101040 = 243255973
BaseRepresentation
bin1011110101000101110000
312211112211100
423311011300
51243213130
6150244400
735233635
oct13650560
95745740
103101040
111828948
121056700
13847647
145aa18c
15413c60
hex2f5170

3101040 has 120 divisors (see below), whose sum is σ = 10735920. Its totient is φ = 801792.

The previous prime is 3101039. The next prime is 3101041. The reversal of 3101040 is 401013.

3101040 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 (3101039) and next prime (3101041).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42444 + ... + 42516.

It is an arithmetic number, because the mean of its divisors is an integer number (89466).

Almost surely, 23101040 is an apocalyptic number.

3101040 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 3101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367960).

3101040 is an abundant number, since it is smaller than the sum of its proper divisors (7634880).

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

3101040 is a wasteful number, since it uses less digits than its factorization.

3101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3101040 is about 1760.9770015534. The cubic root of 3101040 is about 145.8262773910.

Adding to 3101040 its reverse (401013), we get a palindrome (3502053).

The spelling of 3101040 in words is "three million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 73 80 90 118 120 144 146 177 180 219 236 240 292 295 354 360 365 438 472 531 584 590 657 708 720 730 876 885 944 1062 1095 1168 1180 1314 1416 1460 1752 1770 2124 2190 2360 2628 2655 2832 2920 3285 3504 3540 4248 4307 4380 4720 5256 5310 5840 6570 7080 8496 8614 8760 10512 10620 12921 13140 14160 17228 17520 21240 21535 25842 26280 34456 38763 42480 43070 51684 52560 64605 68912 77526 86140 103368 129210 155052 172280 193815 206736 258420 310104 344560 387630 516840 620208 775260 1033680 1550520 3101040