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3256924140 = 22375193919
BaseRepresentation
bin1100001000100000…
…1011011111101100
322101222110220000000
43002020023133230
523132233033030
61255103104300
7143465253441
oct30210133754
98358426000
103256924140
1114214a3348
1276a8a2090
133cb9ac762
1422c7a59c8
15140de4860
hexc220b7ec

3256924140 has 192 divisors, whose sum is σ = 10800384000. Its totient is φ = 822591936.

The previous prime is 3256924133. The next prime is 3256924157. The reversal of 3256924140 is 414296523.

It is a happy number.

3256924140 is a `hidden beast` number, since 32 + 569 + 24 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3256924095 and 3256924104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829101 + ... + 833019.

It is an arithmetic number, because the mean of its divisors is an integer number (56252000).

Almost surely, 23256924140 is an apocalyptic number.

3256924140 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 3256924140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400192000).

3256924140 is an abundant number, since it is smaller than the sum of its proper divisors (7543459860).

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

3256924140 is a wasteful number, since it uses less digits than its factorization.

3256924140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3256924140 is about 57069.4676687982. The cubic root of 3256924140 is about 1482.2992232935.

The spelling of 3256924140 in words is "three billion, two hundred fifty-six million, nine hundred twenty-four thousand, one hundred forty".