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794340864 = 2933371553
BaseRepresentation
bin101111010110001…
…010111000000000
32001100200200211000
4233112022320000
53111322401424
6210453252000
725453533402
oct5726127000
92040620730
10794340864
11378426059
121a2034000
13c87510a5
14776d4b72
1549b0a3c9
hex2f58ae00

794340864 has 160 divisors (see below), whose sum is σ = 2416407840. Its totient is φ = 257458176.

The previous prime is 794340863. The next prime is 794340881. The reversal of 794340864 is 468043497.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (794340863) 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, 510712 + ... + 512264.

It is an arithmetic number, because the mean of its divisors is an integer number (15102549).

Almost surely, 2794340864 is an apocalyptic number.

794340864 is a gapful number since it is divisible by the number (74) 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 794340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208203920).

794340864 is an abundant number, since it is smaller than the sum of its proper divisors (1622066976).

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

794340864 is a wasteful number, since it uses less digits than its factorization.

794340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 794340864 is about 28184.0533635600. The cubic root of 794340864 is about 926.1236363209.

The spelling of 794340864 in words is "seven hundred ninety-four million, three hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 512 576 592 666 768 864 888 999 1152 1184 1332 1536 1553 1728 1776 1998 2304 2368 2664 3106 3456 3552 3996 4608 4659 4736 5328 6212 6912 7104 7992 9318 9472 10656 12424 13824 13977 14208 15984 18636 18944 21312 24848 27954 28416 31968 37272 41931 42624 49696 55908 56832 57461 63936 74544 83862 85248 99392 111816 114922 127872 149088 167724 170496 172383 198784 223632 229844 255744 298176 335448 344766 397568 447264 459688 511488 517149 596352 670896 689532 795136 894528 919376 1034298 1192704 1341792 1379064 1551447 1789056 1838752 2068596 2385408 2683584 2758128 3102894 3578112 3677504 4137192 5367168 5516256 6205788 7156224 7355008 8274384 10734336 11032512 12411576 14710016 16548768 21468672 22065024 24823152 29420032 33097536 44130048 49646304 66195072 88260096 99292608 132390144 198585216 264780288 397170432 794340864