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34034502144 = 29322157879
BaseRepresentation
bin11111101100100111…
…010100101000000000
310020211220220211212110
4133230213110220000
51024200313032034
623345113255320
72313256331526
oct375447245000
9106756824773
1034034502144
1113485653225
12671a104540
1332951a6a86
14190c1c0316
15d42e16de9
hex7ec9d4a00

34034502144 has 40 divisors (see below), whose sum is σ = 90670044960. Its totient is φ = 11344833536.

The previous prime is 34034502143. The next prime is 34034502179. The reversal of 34034502144 is 44120543043.

It is not an unprimeable number, because it can be changed into a prime (34034502143) 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, 11077404 + ... + 11080475.

It is an arithmetic number, because the mean of its divisors is an integer number (2266751124).

Almost surely, 234034502144 is an apocalyptic number.

It is an amenable number.

34034502144 is an abundant number, since it is smaller than the sum of its proper divisors (56635542816).

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

34034502144 is an equidigital number, since it uses as much as digits as its factorization.

34034502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22157900 (or 22157884 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 34034502144 in words is "thirty-four billion, thirty-four million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 22157879 44315758 66473637 88631516 132947274 177263032 265894548 354526064 531789096 709052128 1063578192 1418104256 2127156384 2836208512 4254312768 5672417024 8508625536 11344834048 17017251072 34034502144