Search a number
-
+
316938800 = 2452811977
BaseRepresentation
bin10010111001000…
…001101000110000
3211002101011022002
4102321001220300
51122114020200
651241033132
710565635553
oct2271015060
9732334262
10316938800
111529a38a2
128a1857a8
135087ba69
143014269a
151cc57bd5
hex12e41a30

316938800 has 60 divisors (see below), whose sum is σ = 763164696. Its totient is φ = 126489600.

The previous prime is 316938799. The next prime is 316938833. The reversal of 316938800 is 8839613.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323912 + ... + 324888.

Almost surely, 2316938800 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 316938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381582348).

316938800 is an abundant number, since it is smaller than the sum of its proper divisors (446225896).

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

316938800 is a wasteful number, since it uses less digits than its factorization.

316938800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 316938800 is about 17802.7750645791. The cubic root of 316938800 is about 681.8023122502.

The spelling of 316938800 in words is "three hundred sixteen million, nine hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 811 977 1622 1954 3244 3908 4055 4885 6488 7816 8110 9770 12976 15632 16220 19540 20275 24425 32440 39080 40550 48850 64880 78160 81100 97700 162200 195400 324400 390800 792347 1584694 3169388 3961735 6338776 7923470 12677552 15846940 19808675 31693880 39617350 63387760 79234700 158469400 316938800