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695225344 = 21011231181
BaseRepresentation
bin101001011100000…
…100110000000000
31210110012002212211
4221130010300000
52410434202334
6152553031504
723141214022
oct5134046000
91713162784
10695225344
11327489100
121749b5594
13b105a058
1468494012
154107ca64
hex29704c00

695225344 has 132 divisors (see below), whose sum is σ = 1585589824. Its totient is φ = 304128000.

The previous prime is 695225339. The next prime is 695225351. The reversal of 695225344 is 443522596.

Its product of digits (259200) is a multiple of the sum of its prime divisors (225).

It is a junction number, because it is equal to n+sod(n) for n = 695225297 and 695225306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3840934 + ... + 3841114.

Almost surely, 2695225344 is an apocalyptic number.

695225344 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 695225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792794912).

695225344 is an abundant number, since it is smaller than the sum of its proper divisors (890364480).

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

695225344 is a wasteful number, since it uses less digits than its factorization.

695225344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 225 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 695225344 is about 26367.1261991139. The cubic root of 695225344 is about 885.8806151530.

The spelling of 695225344 in words is "six hundred ninety-five million, two hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 121 124 128 176 181 242 248 256 341 352 362 484 496 512 682 704 724 968 992 1024 1364 1408 1448 1936 1984 1991 2728 2816 2896 3751 3872 3968 3982 5456 5611 5632 5792 7502 7744 7936 7964 10912 11222 11264 11584 15004 15488 15872 15928 21824 21901 22444 23168 30008 30976 31744 31856 43648 43802 44888 46336 60016 61721 61952 63712 87296 87604 89776 92672 120032 123442 123904 127424 174592 175208 179552 185344 240064 246884 254848 349184 350416 359104 480128 493768 509696 678931 700832 718208 960256 987536 1019392 1357862 1401664 1436416 1920512 1975072 2038784 2715724 2803328 2872832 3841024 3950144 5431448 5606656 5745664 7900288 10862896 11213312 15800576 21725792 22426624 31601152 43451584 63202304 86903168 173806336 347612672 695225344