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631058328 = 2332291731747
BaseRepresentation
bin100101100111010…
…010111110011000
31121222110002021200
4211213102332120
52243022331303
6142341434200
721431623125
oct4547227630
91558402250
10631058328
112a424150a
1215740b960
13a09814c4
145db4d74c
153a6053a3
hex259d2f98

631058328 has 96 divisors (see below), whose sum is σ = 1779289200. Its totient is φ = 201809664.

The previous prime is 631058321. The next prime is 631058339. The reversal of 631058328 is 823850136.

631058328 is a `hidden beast` number, since 63 + 10 + 583 + 2 + 8 = 666.

It is a super-2 number, since 2×6310583282 = 796469226676311168, which contains 22 as substring.

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 = 631058292 and 631058301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631058321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360351 + ... + 362097.

Almost surely, 2631058328 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 631058328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889644600).

631058328 is an abundant number, since it is smaller than the sum of its proper divisors (1148230872).

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

631058328 is a wasteful number, since it uses less digits than its factorization.

631058328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 631058328 is about 25120.8743478407. The cubic root of 631058328 is about 857.7416536810.

The spelling of 631058328 in words is "six hundred thirty-one million, fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 173 174 232 261 346 348 519 522 692 696 1038 1044 1384 1557 1747 2076 2088 3114 3494 4152 5017 5241 6228 6988 10034 10482 12456 13976 15051 15723 20068 20964 30102 31446 40136 41928 45153 50663 60204 62892 90306 101326 120408 125784 151989 180612 202652 302231 303978 361224 405304 455967 604462 607956 906693 911934 1208924 1215912 1813386 1823868 2417848 2720079 3626772 3647736 5440158 7253544 8764699 10880316 17529398 21760632 26294097 35058796 52588194 70117592 78882291 105176388 157764582 210352776 315529164 631058328