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316680400 = 24526191279
BaseRepresentation
bin10010111000000…
…010100011010000
3211001220000211201
4102320002203100
51122032233100
651231320544
710563511321
oct2270024320
9731800751
10316680400
11152837743
128a080154
13507bb26a
14300b6448
151cc0636a
hex12e028d0

316680400 has 60 divisors (see below), whose sum is σ = 762649600. Its totient is φ = 126368640.

The previous prime is 316680367. The next prime is 316680409. The reversal of 316680400 is 4086613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316680409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246961 + ... + 248239.

Almost surely, 2316680400 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 316680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381324800).

316680400 is an abundant number, since it is smaller than the sum of its proper divisors (445969200).

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

316680400 is a wasteful number, since it uses less digits than its factorization.

316680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 316680400 is about 17795.5162892230. The cubic root of 316680400 is about 681.6169708758.

The spelling of 316680400 in words is "three hundred sixteen million, six hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 619 1238 1279 2476 2558 3095 4952 5116 6190 6395 9904 10232 12380 12790 15475 20464 24760 25580 30950 31975 49520 51160 61900 63950 102320 123800 127900 247600 255800 511600 791701 1583402 3166804 3958505 6333608 7917010 12667216 15834020 19792525 31668040 39585050 63336080 79170100 158340200 316680400