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3074995872 = 253513191601
BaseRepresentation
bin1011011101001000…
…1011011010100000
321221022010222100000
42313102023122200
522244144331442
61225043500000
7136126014354
oct26722133240
97838128300
103074995872
111338833a03
12719987600
133a00b1cb0
14212569464
1512ee59d4c
hexb748b6a0

3074995872 has 288 divisors, whose sum is σ = 10286377920. Its totient is φ = 895795200.

The previous prime is 3074995867. The next prime is 3074995897. The reversal of 3074995872 is 2785994703.

3074995872 is a `hidden beast` number, since 30 + 7 + 499 + 58 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×30749958722 = 18911199225634080768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1919872 + ... + 1921472.

It is an arithmetic number, because the mean of its divisors is an integer number (35716590).

Almost surely, 23074995872 is an apocalyptic number.

3074995872 is a gapful number since it is divisible by the number (32) 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 3074995872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143188960).

3074995872 is an abundant number, since it is smaller than the sum of its proper divisors (7211382048).

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

3074995872 is a wasteful number, since it uses less digits than its factorization.

3074995872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 3074995872 is about 55452.6453111121. The cubic root of 3074995872 is about 1454.1688780861.

It can be divided in two parts, 30749 and 95872, that added together give a palindrome (126621).

The spelling of 3074995872 in words is "three billion, seventy-four million, nine hundred ninety-five thousand, eight hundred seventy-two".