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320864328 = 2334495161
BaseRepresentation
bin10011001000000…
…000000001001000
3211100202121010000
4103020000001020
51124120124303
651501123000
710644205341
oct2310000110
9740677100
10320864328
11155135134
128b559460
1351624765
14308850c8
151d280da3
hex13200048

320864328 has 40 divisors (see below), whose sum is σ = 898719030. Its totient is φ = 106954560.

The previous prime is 320864321. The next prime is 320864339. The reversal of 320864328 is 823468023.

320864328 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 643 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 240188004 + 80676324 = 15498^2 + 8982^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 320864292 and 320864301.

It is not an unprimeable number, because it can be changed into a prime (320864321) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 246933 + ... + 248228.

Almost surely, 2320864328 is an apocalyptic number.

It is an amenable number.

320864328 is an abundant number, since it is smaller than the sum of its proper divisors (577854702).

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

320864328 is a wasteful number, since it uses less digits than its factorization.

320864328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495179 (or 495166 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 320864328 is about 17912.6862307137. The cubic root of 320864328 is about 684.6056500858.

The spelling of 320864328 in words is "three hundred twenty million, eight hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 495161 990322 1485483 1980644 2970966 3961288 4456449 5941932 8912898 11883864 13369347 17825796 26738694 35651592 40108041 53477388 80216082 106954776 160432164 320864328