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320012320 = 2555413697
BaseRepresentation
bin10011000100110…
…000000000100000
3211022011022101011
4103010300000200
51123410343240
651430550304
710634026345
oct2304600040
9738138334
10320012320
11154702aa1
128b208394
13513b6a04
14307027cc
151d1636ea
hex13130020

320012320 has 48 divisors (see below), whose sum is σ = 757631448. Its totient is φ = 127733760.

The previous prime is 320012309. The next prime is 320012347. The reversal of 320012320 is 23210023.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 169312144 + 150700176 = 13012^2 + 12276^2 .

320012320 is a modest number, since divided by 12320 gives 320 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 320012320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84712 + ... + 88408.

Almost surely, 2320012320 is an apocalyptic number.

It is an amenable number.

320012320 is an abundant number, since it is smaller than the sum of its proper divisors (437619128).

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

320012320 is a wasteful number, since it uses less digits than its factorization.

320012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 320012320 is about 17888.8881711525. Note that the first 3 decimals coincide. The cubic root of 320012320 is about 683.9991564346. Note that the first 3 decimals are identical.

Adding to 320012320 its reverse (23210023), we get a palindrome (343222343).

The spelling of 320012320 in words is "three hundred twenty million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 541 1082 2164 2705 3697 4328 5410 7394 8656 10820 14788 17312 18485 21640 29576 36970 43280 59152 73940 86560 118304 147880 295760 591520 2000077 4000154 8000308 10000385 16000616 20000770 32001232 40001540 64002464 80003080 160006160 320012320