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204568704 = 2732239743
BaseRepresentation
bin11000011000101…
…11100010000000
3112020221011111200
430030113202000
5404332144304
632144341200
75032543134
oct1414274200
9466834450
10204568704
11a552354a
1258614800
13334c6992
141d2513c4
1512e5ce39
hexc317880

204568704 has 96 divisors (see below), whose sum is σ = 591926400. Its totient is φ = 67812864.

The previous prime is 204568691. The next prime is 204568709. The reversal of 204568704 is 407865402.

204568704 is a `hidden beast` number, since 20 + 4 + 568 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (204568709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274957 + ... + 275699.

It is an arithmetic number, because the mean of its divisors is an integer number (6165900).

Almost surely, 2204568704 is an apocalyptic number.

204568704 is a gapful number since it is divisible by the number (24) 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 204568704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295963200).

204568704 is an abundant number, since it is smaller than the sum of its proper divisors (387357696).

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

204568704 is a wasteful number, since it uses less digits than its factorization.

204568704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 204568704 is about 14302.7516233765. The cubic root of 204568704 is about 589.2230546961.

The spelling of 204568704 in words is "two hundred four million, five hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 288 384 478 576 717 743 956 1152 1434 1486 1912 2151 2229 2868 2972 3824 4302 4458 5736 5944 6687 7648 8604 8916 11472 11888 13374 15296 17208 17832 22944 23776 26748 30592 34416 35664 45888 47552 53496 68832 71328 91776 95104 106992 137664 142656 177577 213984 275328 285312 355154 427968 532731 710308 855936 1065462 1420616 1598193 2130924 2841232 3196386 4261848 5682464 6392772 8523696 11364928 12785544 17047392 22729856 25571088 34094784 51142176 68189568 102284352 204568704