Search a number
-
+
631504368 = 2432111920983
BaseRepresentation
bin100101101000111…
…111110111110000
31122000021202010200
4211220333313300
52243131114433
6142355155200
721435461415
oct4550776760
91560252120
10631504368
112a4516640
121575a5b00
13a0aa9531
145dc2810c
153a692613
hex25a3fdf0

631504368 has 120 divisors (see below), whose sum is σ = 2029572480. Its totient is φ = 181284480.

The previous prime is 631504343. The next prime is 631504373. The reversal of 631504368 is 863405136.

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

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, 19605 + ... + 40587.

It is an arithmetic number, because the mean of its divisors is an integer number (16913104).

Almost surely, 2631504368 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 631504368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014786240).

631504368 is an abundant number, since it is smaller than the sum of its proper divisors (1398068112).

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

631504368 is a wasteful number, since it uses less digits than its factorization.

631504368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21027 (or 21018 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 631504368 is about 25129.7506553487. The cubic root of 631504368 is about 857.9436936333.

The spelling of 631504368 in words is "six hundred thirty-one million, five hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 20983 30096 41966 62949 83932 125898 167864 188847 230813 251796 335728 377694 398677 461626 503592 692439 755388 797354 923252 1007184 1196031 1384878 1510776 1594708 1846504 2077317 2392062 2769756 3021552 3189416 3588093 3693008 4154634 4385447 4784124 5539512 6378832 7176186 8309268 8770894 9568248 11079024 13156341 14352372 16618536 17541788 19136496 26312682 28704744 33237072 35083576 39469023 52625364 57409488 70167152 78938046 105250728 157876092 210501456 315752184 631504368