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34400606334 = 2342113618609
BaseRepresentation
bin100000000010011011…
…111001100001111110
310021210102210212101220
4200002123321201332
51030423023400314
623445312214210
72325323220633
oct400233714176
9107712725356
1034400606334
1113653277776
12680083a366
133322cab083
141944a8018a
15d651323a9
hex8026f987e

34400606334 has 16 divisors (see below), whose sum is σ = 68964641040. Its totient is φ = 11439630720.

The previous prime is 34400606311. The next prime is 34400606341. The reversal of 34400606334 is 43360600443.

It is a super-2 number, since 2×344006063342 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34400606295 and 34400606304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6806779 + ... + 6811830.

It is an arithmetic number, because the mean of its divisors is an integer number (4310290065).

Almost surely, 234400606334 is an apocalyptic number.

34400606334 is an abundant number, since it is smaller than the sum of its proper divisors (34564034706).

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

34400606334 is a wasteful number, since it uses less digits than its factorization.

34400606334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13619035.

The product of its (nonzero) digits is 62208, while the sum is 33.

The spelling of 34400606334 in words is "thirty-four billion, four hundred million, six hundred six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 421 842 1263 2526 13618609 27237218 40855827 81711654 5733434389 11466868778 17200303167 34400606334