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695138304 = 2113722309
BaseRepresentation
bin101001011011101…
…111100000000000
31210110000200111010
4221123233200000
52410423411204
6152551120520
723140402200
oct5133574000
91713020433
10695138304
11327429773
12174973140
13b1029553
1468470400
1541061d89
hex296ef800

695138304 has 144 divisors (see below), whose sum is σ = 2156754600. Its totient is φ = 198524928.

The previous prime is 695138303. The next prime is 695138309. The reversal of 695138304 is 403831596.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (695138303) 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 11 ways as a sum of consecutive naturals, for example, 299902 + ... + 302210.

Almost surely, 2695138304 is an apocalyptic number.

695138304 is a gapful number since it is divisible by the number (64) 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 695138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078377300).

695138304 is an abundant number, since it is smaller than the sum of its proper divisors (1461616296).

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

695138304 is a wasteful number, since it uses less digits than its factorization.

695138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 695138304 is about 26365.4756073165. The cubic root of 695138304 is about 885.8436437990.

The spelling of 695138304 in words is "six hundred ninety-five million, one hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2309 2352 2688 3072 3136 3584 4618 4704 5376 6144 6272 6927 7168 9236 9408 10752 12544 13854 14336 16163 18472 18816 21504 25088 27708 32326 36944 37632 43008 48489 50176 55416 64652 73888 75264 96978 100352 110832 113141 129304 147776 150528 193956 221664 226282 258608 295552 301056 339423 387912 443328 452564 517216 591104 678846 775824 886656 905128 1034432 1182208 1357692 1551648 1773312 1810256 2068864 2364416 2715384 3103296 3546624 3620512 4137728 4728832 5430768 6206592 7093248 7241024 8275456 10861536 12413184 14186496 14482048 16550912 21723072 24826368 28964096 33101824 43446144 49652736 57928192 86892288 99305472 115856384 173784576 231712768 347569152 695138304