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630695296 = 2771189719
BaseRepresentation
bin100101100101111…
…010010110000000
31121221202122022001
4211211322112000
52242424222141
6142325553344
721425551540
oct4545722600
91557678261
10630695296
112a4013790
12157275854
13a08851aa
145da97320
153a582a31
hex2597a580

630695296 has 128 divisors (see below), whose sum is σ = 1586304000. Its totient is φ = 242626560.

The previous prime is 630695293. The next prime is 630695311. The reversal of 630695296 is 692596036.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630695293) 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, 876825 + ... + 877543.

It is an arithmetic number, because the mean of its divisors is an integer number (12393000).

Almost surely, 2630695296 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 630695296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

630695296 is an abundant number, since it is smaller than the sum of its proper divisors (955608704).

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

630695296 is a wasteful number, since it uses less digits than its factorization.

630695296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The square root of 630695296 is about 25113.6476044401. The cubic root of 630695296 is about 857.5771430568.

The spelling of 630695296 in words is "six hundred thirty million, six hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 89 112 128 154 176 178 224 308 352 356 448 616 623 704 712 719 896 979 1232 1246 1408 1424 1438 1958 2464 2492 2848 2876 3916 4928 4984 5033 5696 5752 6853 7832 7909 9856 9968 10066 11392 11504 13706 15664 15818 19936 20132 23008 27412 31328 31636 39872 40264 46016 54824 55363 62656 63272 63991 79744 80528 92032 109648 110726 125312 126544 127982 161056 219296 221452 253088 255964 322112 438592 442904 447937 506176 511928 644224 703901 877184 885808 895874 1012352 1023856 1407802 1771616 1791748 2047712 2815604 3543232 3583496 4095424 4927307 5631208 7086464 7166992 8190848 9854614 11262416 14333984 19709228 22524832 28667968 39418456 45049664 57335936 78836912 90099328 157673824 315347648 630695296