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34416504204 = 223231071165397
BaseRepresentation
bin100000000011011000…
…100010110110001100
310021211112201120011220
4200003120202312030
51030441111113304
623451041043340
72325605313255
oct400330426614
9107745646156
1034416504204
1113661246005
126806026550
1333263862b4
141946c1bb2c
15d66722ad9
hex803622d8c

34416504204 has 48 divisors (see below), whose sum is σ = 84579925248. Its totient is φ = 10870813888.

The previous prime is 34416504179. The next prime is 34416504223. The reversal of 34416504204 is 40240561443.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 553167 + ... + 612230.

It is an arithmetic number, because the mean of its divisors is an integer number (1762081776).

Almost surely, 234416504204 is an apocalyptic number.

It is an amenable number.

34416504204 is an abundant number, since it is smaller than the sum of its proper divisors (50163421044).

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

34416504204 is a wasteful number, since it uses less digits than its factorization.

34416504204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165534 (or 1165532 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 34416504204 in words is "thirty-four billion, four hundred sixteen million, five hundred four thousand, two hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 642 1284 2461 4922 7383 9844 14766 29532 1165397 2330794 3496191 4661588 6992382 13984764 26804131 53608262 80412393 107216524 124697479 160824786 249394958 321649572 374092437 498789916 748184874 1496369748 2868042017 5736084034 8604126051 11472168068 17208252102 34416504204