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232314320 = 24573371231
BaseRepresentation
bin11011101100011…
…01010111010000
3121012010210100002
431312031113100
5433433024240
635015145132
75520432140
oct1566152720
9535123302
10232314320
1110a154207
12659751a8
133918c7c4
1422bd4920
15155ddd15
hexdd8d5d0

232314320 has 80 divisors (see below), whose sum is σ = 619627008. Its totient is φ = 79349760.

The previous prime is 232314319. The next prime is 232314353. The reversal of 232314320 is 23413232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232314292 and 232314301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188105 + ... + 189335.

Almost surely, 2232314320 is an apocalyptic number.

232314320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309813504).

232314320 is an abundant number, since it is smaller than the sum of its proper divisors (387312688).

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

232314320 is a wasteful number, since it uses less digits than its factorization.

232314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 232314320 is about 15241.8607787894. The cubic root of 232314320 is about 614.7407372170.

Adding to 232314320 its reverse (23413232), we get a palindrome (255727552).

The spelling of 232314320 in words is "two hundred thirty-two million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 337 560 674 1231 1348 1685 2359 2462 2696 3370 4718 4924 5392 6155 6740 8617 9436 9848 11795 12310 13480 17234 18872 19696 23590 24620 26960 34468 37744 43085 47180 49240 68936 86170 94360 98480 137872 172340 188720 344680 414847 689360 829694 1659388 2074235 2903929 3318776 4148470 5807858 6637552 8296940 11615716 14519645 16593880 23231432 29039290 33187760 46462864 58078580 116157160 232314320