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313402240 = 275489691
BaseRepresentation
bin10010101011100…
…010001110000000
3210211201111001101
4102223202032000
51120212332430
651033144144
710523606104
oct2253421600
9724644041
10313402240
111509a8818
1288b5b054
134cc11118
142d8a1904
151c7a9dca
hex12ae2380

313402240 has 32 divisors (see below), whose sum is σ = 749228760. Its totient is φ = 125360640.

The previous prime is 313402231. The next prime is 313402253. The reversal of 313402240 is 42204313.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×3134022404 (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 244206 + ... + 245485.

Almost surely, 2313402240 is an apocalyptic number.

It is an amenable number.

313402240 is an abundant number, since it is smaller than the sum of its proper divisors (435826520).

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

313402240 is an equidigital number, since it uses as much as digits as its factorization.

313402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489710 (or 489698 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 313402240 is about 17703.1703375412. The cubic root of 313402240 is about 679.2568582762.

Adding to 313402240 its reverse (42204313), we get a palindrome (355606553).

The spelling of 313402240 in words is "three hundred thirteen million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 489691 979382 1958764 2448455 3917528 4896910 7835056 9793820 15670112 19587640 31340224 39175280 62680448 78350560 156701120 313402240