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797338368 = 28322711277
BaseRepresentation
bin101111100001100…
…110101100000000
32001120022222121200
4233201212230000
53113104311433
6211041421200
725521156441
oct5741465400
92046288550
10797338368
1137a093132
121a303a800
13c9260568
1477c752c8
1549eed613
hex2f866b00

797338368 has 108 divisors (see below), whose sum is σ = 2309213088. Its totient is φ = 264591360.

The previous prime is 797338291. The next prime is 797338387. The reversal of 797338368 is 863833797.

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 11 ways as a sum of consecutive naturals, for example, 623746 + ... + 625022.

Almost surely, 2797338368 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 797338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154606544).

797338368 is an abundant number, since it is smaller than the sum of its proper divisors (1511874720).

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

797338368 is a wasteful number, since it uses less digits than its factorization.

797338368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1553 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 797338368 is about 28237.1805958031. The cubic root of 797338368 is about 927.2871060788.

The spelling of 797338368 in words is "seven hundred ninety-seven million, three hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 271 288 384 542 576 768 813 1084 1152 1277 1626 2168 2304 2439 2554 3252 3831 4336 4878 5108 6504 7662 8672 9756 10216 11493 13008 15324 17344 19512 20432 22986 26016 30648 34688 39024 40864 45972 52032 61296 69376 78048 81728 91944 104064 122592 156096 163456 183888 208128 245184 312192 326912 346067 367776 490368 624384 692134 735552 980736 1038201 1384268 1471104 2076402 2768536 2942208 3114603 4152804 5537072 6229206 8305608 11074144 12458412 16611216 22148288 24916824 33222432 44296576 49833648 66444864 88593152 99667296 132889728 199334592 265779456 398669184 797338368