Search a number
-
+
318195264 = 2633747953
BaseRepresentation
bin10010111101110…
…100011001000000
3211011201222211210
4102331310121000
51122424222024
651324010120
710612420662
oct2275643100
9734658753
10318195264
111536818a2
128a690940
1350bcb92a
143038c532
151ce05129
hex12f74640

318195264 has 112 divisors (see below), whose sum is σ = 883968768. Its totient is φ = 100896768.

The previous prime is 318195263. The next prime is 318195281. The reversal of 318195264 is 462591813.

It is not an unprimeable number, because it can be changed into a prime (318195263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333412 + ... + 334364.

Almost surely, 2318195264 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 318195264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441984384).

318195264 is an abundant number, since it is smaller than the sum of its proper divisors (565773504).

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

318195264 is a wasteful number, since it uses less digits than its factorization.

318195264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1042 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 318195264 is about 17838.0285906263. The cubic root of 318195264 is about 682.7020974314.

The spelling of 318195264 in words is "three hundred eighteen million, one hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 47 48 64 74 94 96 111 141 148 188 192 222 282 296 376 444 564 592 752 888 953 1128 1184 1504 1739 1776 1906 2256 2368 2859 3008 3478 3552 3812 4512 5217 5718 6956 7104 7624 9024 10434 11436 13912 15248 20868 22872 27824 30496 35261 41736 44791 45744 55648 60992 70522 83472 89582 91488 105783 111296 134373 141044 166944 179164 182976 211566 268746 282088 333888 358328 423132 537492 564176 716656 846264 1074984 1128352 1433312 1657267 1692528 2149968 2256704 2866624 3314534 3385056 4299936 4971801 6629068 6770112 8599872 9943602 13258136 19887204 26516272 39774408 53032544 79548816 106065088 159097632 318195264