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34938445056 = 28345492767
BaseRepresentation
bin100000100010011111…
…100101110100000000
310100011220211220102120
4200202133211310000
51033023220220211
624014524044240
72344543611564
oct404237456400
9110156756376
1034938445056
11138a9928989
126930993680
1333aa551038
1419962856a4
15d97471d06
hex8227e5d00

34938445056 has 36 divisors (see below), whose sum is σ = 92987217792. Its totient is φ = 11646148096.

The previous prime is 34938445019. The next prime is 34938445057. The reversal of 34938445056 is 65054483943.

It is a super-2 number, since 2×349384450562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34938445057) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22745616 + ... + 22747151.

It is an arithmetic number, because the mean of its divisors is an integer number (2582978272).

Almost surely, 234938445056 is an apocalyptic number.

It is an amenable number.

34938445056 is an abundant number, since it is smaller than the sum of its proper divisors (58048772736).

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

34938445056 is an equidigital number, since it uses as much as digits as its factorization.

34938445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45492786 (or 45492772 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 34938445056 in words is "thirty-four billion, nine hundred thirty-eight million, four hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 45492767 90985534 136478301 181971068 272956602 363942136 545913204 727884272 1091826408 1455768544 2183652816 2911537088 4367305632 5823074176 8734611264 11646148352 17469222528 34938445056