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2709316704 = 253195212851
BaseRepresentation
bin1010000101111100…
…1110010001100000
320222211001112211010
42201133032101200
521022041113304
61124502020520
7124065545343
oct24137162140
96884045733
102709316704
11117037a816
12637417740
133423c92a3
141b9b7a45a
1510ccc5789
hexa17ce460

2709316704 has 96 divisors (see below), whose sum is σ = 7503269760. Its totient is φ = 853632000.

The previous prime is 2709316691. The next prime is 2709316759. The reversal of 2709316704 is 4076139072.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948879 + ... + 951729.

It is an arithmetic number, because the mean of its divisors is an integer number (78159060).

Almost surely, 22709316704 is an apocalyptic number.

2709316704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2709316704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751634880).

2709316704 is an abundant number, since it is smaller than the sum of its proper divisors (4793953056).

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

2709316704 is a wasteful number, since it uses less digits than its factorization.

2709316704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2709316704 is about 52051.0970489576. The cubic root of 2709316704 is about 1394.0764524665.

The spelling of 2709316704 in words is "two billion, seven hundred nine million, three hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 521 608 912 1042 1563 1824 2084 2851 3126 4168 5702 6252 8336 8553 9899 11404 12504 16672 17106 19798 22808 25008 29697 34212 39596 45616 50016 54169 59394 68424 79192 91232 108338 118788 136848 158384 162507 216676 237576 273696 316768 325014 433352 475152 650028 866704 950304 1300056 1485371 1733408 2600112 2970742 4456113 5200224 5941484 8912226 11882968 17824452 23765936 28222049 35648904 47531872 56444098 71297808 84666147 112888196 142595616 169332294 225776392 338664588 451552784 677329176 903105568 1354658352 2709316704