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323942016 = 2735231613
BaseRepresentation
bin10011010011101…
…111011010000000
3211120112221220110
4103103233122000
51130412121031
652051111320
711012314236
oct2323573200
9746487813
10323942016
11156947482
12905a2540
1352161588
1431046956
151d68cc46
hex134ef680

323942016 has 64 divisors (see below), whose sum is σ = 862650720. Its totient is φ = 107707392.

The previous prime is 323942011. The next prime is 323942023. The reversal of 323942016 is 610249323.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (323942011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200026 + ... + 201638.

Almost surely, 2323942016 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 323942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431325360).

323942016 is an abundant number, since it is smaller than the sum of its proper divisors (538708704).

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

323942016 is a wasteful number, since it uses less digits than its factorization.

323942016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 323942016 is about 17998.3892612645. The cubic root of 323942016 is about 686.7875707971.

The spelling of 323942016 in words is "three hundred twenty-three million, nine hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 523 1046 1569 1613 2092 3138 3226 4184 4839 6276 6452 8368 9678 12552 12904 16736 19356 25104 25808 33472 38712 50208 51616 66944 77424 100416 103232 154848 200832 206464 309696 619392 843599 1687198 2530797 3374396 5061594 6748792 10123188 13497584 20246376 26995168 40492752 53990336 80985504 107980672 161971008 323942016