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320414096 = 24178531381
BaseRepresentation
bin10011000110010…
…010000110010000
3211022220201111202
4103012102012100
51124011222341
651443330332
710640321612
oct2306220620
9738821452
10320414096
11154957942
128b3809a8
13514c7852
14307a8db2
151d1e279b
hex13192190

320414096 has 40 divisors (see below), whose sum is σ = 658567224. Its totient is φ = 150497280.

The previous prime is 320414089. The next prime is 320414123. The reversal of 320414096 is 690414023.

It can be written as a sum of positive squares in 4 ways, for example, as 19044496 + 301369600 = 4364^2 + 17360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231326 + ... + 232706.

Almost surely, 2320414096 is an apocalyptic number.

It is an amenable number.

320414096 is an abundant number, since it is smaller than the sum of its proper divisors (338153128).

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

320414096 is a wasteful number, since it uses less digits than its factorization.

320414096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 320414096 is about 17900.1144130422. The cubic root of 320414096 is about 684.2852907468.

It can be divided in two parts, 32041 and 4096, that multiplied together give a square (131239936 = 114562).

The spelling of 320414096 in words is "three hundred twenty million, four hundred fourteen thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 853 1381 1706 2762 3412 5524 6824 11048 13648 14501 22096 23477 29002 46954 58004 93908 116008 187816 232016 375632 1177993 2355986 4711972 9423944 18847888 20025881 40051762 80103524 160207048 320414096