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2704165296 = 243710378137
BaseRepresentation
bin1010000100101110…
…0100100110110000
320222110100211102020
42201023210212300
521014231242141
61124155351440
7124004011560
oct24113444660
96873324366
102704165296
111168481458
12635752580
13341314611
141b91d8da0
1510c609266
hexa12e49b0

2704165296 has 80 divisors (see below), whose sum is σ = 8061341184. Its totient is φ = 765107712.

The previous prime is 2704165171. The next prime is 2704165297. The reversal of 2704165296 is 6925614072.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2704165297) by changing a digit.

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, 4461 + ... + 73676.

Almost surely, 22704165296 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 2704165296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030670592).

2704165296 is an abundant number, since it is smaller than the sum of its proper divisors (5357175888).

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

2704165296 is a wasteful number, since it uses less digits than its factorization.

2704165296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78258 (or 78252 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2704165296 is about 52001.5893603263. The cubic root of 2704165296 is about 1393.1923411180.

The spelling of 2704165296 in words is "two billion, seven hundred four million, one hundred sixty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 309 336 412 618 721 824 1236 1442 1648 2163 2472 2884 4326 4944 5768 8652 11536 17304 34608 78137 156274 234411 312548 468822 546959 625096 937644 1093918 1250192 1640877 1875288 2187836 3281754 3750576 4375672 6563508 8048111 8751344 13127016 16096222 24144333 26254032 32192444 48288666 56336777 64384888 96577332 112673554 128769776 169010331 193154664 225347108 338020662 386309328 450694216 676041324 901388432 1352082648 2704165296