Search a number
-
+
811714368 = 26317431577
BaseRepresentation
bin110000011000011…
…100011101000000
32002120101100210010
4300120130131000
53130244324433
6212313504520
726054313123
oct6030343500
92076340703
10811714368
11387212023
121a7a12140
13cc224b7a
1479b383ba
154b3dce63
hex3061c740

811714368 has 112 divisors (see below), whose sum is σ = 2283220224. Its totient is φ = 253624320.

The previous prime is 811714363. The next prime is 811714381. The reversal of 811714368 is 863417118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811714363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406496 + ... + 1407072.

Almost surely, 2811714368 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 811714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141610112).

811714368 is an abundant number, since it is smaller than the sum of its proper divisors (1471505856).

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

811714368 is a wasteful number, since it uses less digits than its factorization.

811714368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1030 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 811714368 is about 28490.6013976539. The cubic root of 811714368 is about 932.8269352709.

The spelling of 811714368 in words is "eight hundred eleven million, seven hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 431 544 577 816 862 1088 1154 1293 1632 1724 1731 2308 2586 3264 3448 3462 4616 5172 6896 6924 7327 9232 9809 10344 13792 13848 14654 18464 19618 20688 21981 27584 27696 29308 29427 36928 39236 41376 43962 55392 58616 58854 78472 82752 87924 110784 117232 117708 156944 175848 234464 235416 248687 313888 351696 468928 470832 497374 627776 703392 746061 941664 994748 1406784 1492122 1883328 1989496 2984244 3978992 4227679 5968488 7957984 8455358 11936976 12683037 15915968 16910716 23873952 25366074 33821432 47747904 50732148 67642864 101464296 135285728 202928592 270571456 405857184 811714368