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630151376 = 24172419613
BaseRepresentation
bin100101100011110…
…101100011010000
31121220202000011212
4211203311203100
52242304321001
6142310155252
721421125011
oct4543654320
91556660155
10630151376
112a3782068
12157052b28
13a072474a
145d995008
153a4c67bb
hex258f58d0

630151376 has 40 divisors (see below), whose sum is σ = 1298236104. Its totient is φ = 295280640.

The previous prime is 630151373. The next prime is 630151387. The reversal of 630151376 is 673151036.

It can be written as a sum of positive squares in 4 ways, for example, as 465696400 + 164454976 = 21580^2 + 12824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630151373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60746 + ... + 70358.

Almost surely, 2630151376 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 630151376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649118052).

630151376 is an abundant number, since it is smaller than the sum of its proper divisors (668084728).

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

630151376 is a wasteful number, since it uses less digits than its factorization.

630151376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9879 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 630151376 is about 25102.8160970039. The cubic root of 630151376 is about 857.3305435136.

The spelling of 630151376 in words is "six hundred thirty million, one hundred fifty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 68 136 241 272 482 964 1928 3856 4097 8194 9613 16388 19226 32776 38452 65552 76904 153808 163421 326842 653684 1307368 2316733 2614736 4633466 9266932 18533864 37067728 39384461 78768922 157537844 315075688 630151376