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34064256 = 273432063
BaseRepresentation
bin1000000111110…
…0011110000000
32101002122101010
42001330132000
532210024011
63214040520
7562353462
oct201743600
971078333
1034064256
1118256a86
12b4a9140
137098b85
14474a132
152ecd1a6
hex207c780

34064256 has 64 divisors (see below), whose sum is σ = 92632320. Its totient is φ = 11085312.

The previous prime is 34064249. The next prime is 34064267. The reversal of 34064256 is 65246043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15481 + ... + 17543.

It is an arithmetic number, because the mean of its divisors is an integer number (1447380).

Almost surely, 234064256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46316160).

34064256 is an abundant number, since it is smaller than the sum of its proper divisors (58568064).

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

34064256 is a wasteful number, since it uses less digits than its factorization.

34064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 34064256 is about 5836.4592005770. The cubic root of 34064256 is about 324.1651345375.

The spelling of 34064256 in words is "thirty-four million, sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2063 2064 2752 4126 4128 5504 6189 8252 8256 12378 16504 16512 24756 33008 49512 66016 88709 99024 132032 177418 198048 264064 266127 354836 396096 532254 709672 792192 1064508 1419344 2129016 2838688 4258032 5677376 8516064 11354752 17032128 34064256