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320344232 = 23132313757
BaseRepresentation
bin10011000110000…
…001000010101000
3211022210011200012
4103012001002220
51124002003412
651442031052
710636611125
oct2306010250
9738704605
10320344232
1115490a3aa
128b348488
13514a1b00
143078b74c
151d1cbc22
hex131810a8

320344232 has 48 divisors (see below), whose sum is σ = 653342940. Its totient is φ = 147184128.

The previous prime is 320344229. The next prime is 320344247. The reversal of 320344232 is 232443023.

320344232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3290596 + 317053636 = 1814^2 + 17806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 320344198 and 320344207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422798 + ... + 423554.

Almost surely, 2320344232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320344232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326671470).

320344232 is an abundant number, since it is smaller than the sum of its proper divisors (332998708).

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

320344232 is a wasteful number, since it uses less digits than its factorization.

320344232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 320344232 is about 17898.1628107468. The cubic root of 320344232 is about 684.2355526285.

Adding to 320344232 its reverse (232443023), we get a palindrome (552787255).

The spelling of 320344232 in words is "three hundred twenty million, three hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 169 313 338 626 676 757 1252 1352 1514 2504 3028 4069 6056 8138 9841 16276 19682 32552 39364 52897 78728 105794 127933 211588 236941 255866 423176 473882 511732 947764 1023464 1895528 3080233 6160466 12320932 24641864 40043029 80086058 160172116 320344232