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323820680 = 23523523673
BaseRepresentation
bin10011010011010…
…001110010001000
3211120022210110112
4103103101302020
51130344230210
652044333452
711011300421
oct2323216210
9746283415
10323820680
111568742a7
1290544288
135211b291
1431014648
151d666d05
hex134d1c88

323820680 has 64 divisors (see below), whose sum is σ = 762860160. Its totient is φ = 123475968.

The previous prime is 323820661. The next prime is 323820683. The reversal of 323820680 is 86028323.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (323820683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480824 + ... + 481496.

It is an arithmetic number, because the mean of its divisors is an integer number (11919690).

Almost surely, 2323820680 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 323820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381430080).

323820680 is an abundant number, since it is smaller than the sum of its proper divisors (439039480).

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

323820680 is a wasteful number, since it uses less digits than its factorization.

323820680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 323820680 is about 17995.0181994907. The cubic root of 323820680 is about 686.7018121746.

The spelling of 323820680 in words is "three hundred twenty-three million, eight hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 523 673 920 1046 1346 2092 2615 2692 3365 4184 5230 5384 6730 10460 12029 13460 15479 20920 24058 26920 30958 48116 60145 61916 77395 96232 120290 123832 154790 240580 309580 351979 481160 619160 703958 1407916 1759895 2815832 3519790 7039580 8095517 14079160 16191034 32382068 40477585 64764136 80955170 161910340 323820680