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203934816 = 25324391613
BaseRepresentation
bin11000010011111…
…00110001100000
3112012201221222100
430021330301200
5404201403231
632123010400
75024263101
oct1411746140
9465657870
10203934816
11a5130278
1258369a00
13333342b7
141d1283a8
1512d851e6
hexc27cc60

203934816 has 72 divisors (see below), whose sum is σ = 581621040. Its totient is φ = 67781376.

The previous prime is 203934803. The next prime is 203934821. The reversal of 203934816 is 618439302.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 125626 + ... + 127238.

It is an arithmetic number, because the mean of its divisors is an integer number (8078070).

Almost surely, 2203934816 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 203934816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290810520).

203934816 is an abundant number, since it is smaller than the sum of its proper divisors (377686224).

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

203934816 is a wasteful number, since it uses less digits than its factorization.

203934816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 203934816 is about 14280.5747783484. The cubic root of 203934816 is about 588.6138251870.

The spelling of 203934816 in words is "two hundred three million, nine hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 439 878 1317 1613 1756 2634 3226 3512 3951 4839 5268 6452 7024 7902 9678 10536 12904 14048 14517 15804 19356 21072 25808 29034 31608 38712 42144 51616 58068 63216 77424 116136 126432 154848 232272 464544 708107 1416214 2124321 2832428 4248642 5664856 6372963 8497284 11329712 12745926 16994568 22659424 25491852 33989136 50983704 67978272 101967408 203934816