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323993376 = 25327160711
BaseRepresentation
bin10011010011111…
…011111100100000
3211120122120100200
4103103323330200
51130420242001
652052145200
711012620050
oct2323737440
9746576320
10323993376
11156982023
1290608200
135217ba75
143105b560
151d69d086
hex134fbf20

323993376 has 72 divisors (see below), whose sum is σ = 1052985024. Its totient is φ = 92568960.

The previous prime is 323993363. The next prime is 323993381. The reversal of 323993376 is 673399323.

323993376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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, 78340 + ... + 82371.

It is an arithmetic number, because the mean of its divisors is an integer number (14624792).

Almost surely, 2323993376 is an apocalyptic number.

323993376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

323993376 is an abundant number, since it is smaller than the sum of its proper divisors (728991648).

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

323993376 is a wasteful number, since it uses less digits than its factorization.

323993376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160734 (or 160723 counting only the distinct ones).

The product of its digits is 551124, while the sum is 45.

The square root of 323993376 is about 17999.8159990595. The cubic root of 323993376 is about 686.8238648908.

The spelling of 323993376 in words is "three hundred twenty-three million, nine hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 160711 321422 482133 642844 964266 1124977 1285688 1446399 1928532 2249954 2571376 2892798 3374931 3857064 4499908 5142752 5785596 6749862 7714128 8999816 10124793 11571192 13499724 15428256 17999632 20249586 23142384 26999448 35999264 40499172 46284768 53998896 80998344 107997792 161996688 323993376