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631660432 = 241317414357
BaseRepresentation
bin100101101001100…
…101111110010000
31122000120200012211
4211221211332100
52243201113212
6142402401504
721440011414
oct4551457620
91560520184
10631660432
112a4612917
12157660294
13a0b32590
145dc68d44
153a6c39a7
hex25a65f90

631660432 has 80 divisors (see below), whose sum is σ = 1429877232. Its totient is φ = 267632640.

The previous prime is 631660423. The next prime is 631660439. The reversal of 631660432 is 234066136.

631660432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1449616 + 630210816 = 1204^2 + 25104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 631660394 and 631660403.

It is not an unprimeable number, because it can be changed into a prime (631660439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142798 + ... + 147154.

Almost surely, 2631660432 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 631660432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714938616).

631660432 is an abundant number, since it is smaller than the sum of its proper divisors (798216800).

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

631660432 is a wasteful number, since it uses less digits than its factorization.

631660432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 631660432 is about 25132.8556276441. The cubic root of 631660432 is about 858.0143625012.

The spelling of 631660432 in words is "six hundred thirty-one million, six hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 41 52 68 82 104 136 164 208 221 272 328 442 533 656 697 884 1066 1394 1768 2132 2788 3536 4264 4357 5576 8528 8714 9061 11152 17428 18122 34856 36244 56641 69712 72488 74069 113282 144976 148138 178637 226564 296276 357274 453128 592552 714548 906256 962897 1185104 1429096 1925794 2322281 2858192 3036829 3851588 4644562 6073658 7703176 9289124 12147316 15406352 18578248 24294632 37156496 39478777 48589264 78957554 157915108 315830216 631660432