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316804401 = 321723492
BaseRepresentation
bin10010111000100…
…000110100110001
3211002010022221100
4102320200310301
51122100220101
651234115013
710564535664
oct2270406461
9732108840
10316804401
11152911921
128a11ba69
1350832834
14301096db
151cc2ce86
hex12e20d31

316804401 has 27 divisors (see below), whose sum is σ = 487504641. Its totient is φ = 198209664.

The previous prime is 316804399. The next prime is 316804409. The reversal of 316804401 is 104408613.

The square root of 316804401 is 17799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 83448225 + 233356176 = 9135^2 + 15276^2 .

It is not a de Polignac number, because 316804401 - 21 = 316804399 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (316804409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 907575 + ... + 907923.

Almost surely, 2316804401 is an apocalyptic number.

316804401 is the 17799-th square number.

316804401 is the 8900-th centered octagonal number.

It is an amenable number.

316804401 is a deficient number, since it is larger than the sum of its proper divisors (170700240).

316804401 is an equidigital number, since it uses as much as digits as its factorization.

316804401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 316804401 is about 681.7059250775.

Multiplying 316804401 by its product of nonzero digits (2304), we get a square (729917339904 = 8543522).

The spelling of 316804401 in words is "three hundred sixteen million, eight hundred four thousand, four hundred one".

Divisors: 1 3 9 17 51 153 289 349 867 1047 2601 3141 5933 17799 53397 100861 121801 302583 365403 907749 1096209 2070617 6211851 18635553 35200489 105601467 316804401