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313314240 = 2635326369
BaseRepresentation
bin10010101011001…
…100101111000000
3210211120000100010
4102223030233000
51120202023430
651031224520
710523061411
oct2253145700
9724500303
10313314240
11150948698
1288b18140
134cbb0055
142d87b808
151c78dcb0
hex12accbc0

313314240 has 56 divisors (see below), whose sum is σ = 994775760. Its totient is φ = 83550208.

The previous prime is 313314227. The next prime is 313314247. The reversal of 313314240 is 42413313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313314247) 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 7 ways as a sum of consecutive naturals, for example, 162225 + ... + 164144.

Almost surely, 2313314240 is an apocalyptic number.

313314240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313314240 is an abundant number, since it is smaller than the sum of its proper divisors (681461520).

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

313314240 is a wasteful number, since it uses less digits than its factorization.

313314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326389 (or 326379 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 313314240 is about 17700.6847325181. The cubic root of 313314240 is about 679.1932763024.

Adding to 313314240 its reverse (42413313), we get a palindrome (355727553).

The spelling of 313314240 in words is "three hundred thirteen million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 326369 652738 979107 1305476 1631845 1958214 2610952 3263690 3916428 4895535 5221904 6527380 7832856 9791070 10443808 13054760 15665712 19582140 20887616 26109520 31331424 39164280 52219040 62662848 78328560 104438080 156657120 313314240