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34674644928 = 2637111927389
BaseRepresentation
bin100000010010110001…
…010001011111000000
310022111112110110200110
4200102301101133000
51032003202114203
623532421551320
72335161422160
oct402261213700
9108445413613
1034674644928
1113783a29a50
126878575540
1333679b91a1
14196d2165a0
15d7e213d03
hex812c517c0

34674644928 has 672 divisors, whose sum is σ = 123746849280. Its totient is φ = 8320942080.

The previous prime is 34674644891. The next prime is 34674644971. The reversal of 34674644928 is 82944647643.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×346746449282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389602708 + ... + 389602796.

Almost surely, 234674644928 is an apocalyptic number.

34674644928 is a gapful number since it is divisible by the number (38) 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 34674644928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61873424640).

34674644928 is an abundant number, since it is smaller than the sum of its proper divisors (89072204352).

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

34674644928 is a wasteful number, since it uses less digits than its factorization.

34674644928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 57.

The spelling of 34674644928 in words is "thirty-four billion, six hundred seventy-four million, six hundred forty-four thousand, nine hundred twenty-eight".