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630431332344 = 2332112334608659
BaseRepresentation
bin10010010110010001010…
…00101011011111111000
32020021020211202220121100
421023020220223133320
540312110410113334
61201341031211400
763355450623402
oct11131050533770
92207224686540
10630431332344
11223401062a40
12a2222216b60
13475ac4b4438
1422727acbb72
15115eb798c99
hex92c8a2b7f8

630431332344 has 96 divisors (see below), whose sum is σ = 1943622345600. Its totient is φ = 182733714240.

The previous prime is 630431332339. The next prime is 630431332373. The reversal of 630431332344 is 443233134036.

630431332344 is a `hidden beast` number, since 6 + 304 + 3 + 1 + 3 + 3 + 2 + 344 = 666.

630431332344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 630431332299 and 630431332308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17286114 + ... + 17322545.

It is an arithmetic number, because the mean of its divisors is an integer number (20246066100).

Almost surely, 2630431332344 is an apocalyptic number.

It is an amenable number.

630431332344 is an abundant number, since it is smaller than the sum of its proper divisors (1313191013256).

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

630431332344 is a wasteful number, since it uses less digits than its factorization.

630431332344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34608705 (or 34608698 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 630431332344 in words is "six hundred thirty billion, four hundred thirty-one million, three hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2277 3036 4554 6072 9108 18216 34608659 69217318 103825977 138434636 207651954 276869272 311477931 380695249 415303908 622955862 761390498 795999157 830607816 1142085747 1245911724 1522780996 1591998314 2284171494 2387997471 2491823448 3045561992 3183996628 3426257241 4568342988 4775994942 6367993256 6852514482 7163992413 8755990727 9136685976 9551989884 13705028964 14327984826 17511981454 19103979768 26267972181 27410057928 28655969652 35023962908 52535944362 57311939304 70047925816 78803916543 105071888724 157607833086 210143777448 315215666172 630431332344