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204718104 = 2334431733
BaseRepresentation
bin11000011001111…
…00000000011000
3112021012202110000
430030330000120
5404401434404
632151453000
75034034533
oct1414740030
9467182400
10204718104
11a5615818
1258687160
1333549996
141d28da1a
1512e8c339
hexc33c018

204718104 has 80 divisors (see below), whose sum is σ = 575514720. Its totient is φ = 67988160.

The previous prime is 204718091. The next prime is 204718121. The reversal of 204718104 is 401817402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 278922 + ... + 279654.

It is an arithmetic number, because the mean of its divisors is an integer number (7193934).

Almost surely, 2204718104 is an apocalyptic number.

204718104 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 204718104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287757360).

204718104 is an abundant number, since it is smaller than the sum of its proper divisors (370796616).

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

204718104 is a wasteful number, since it uses less digits than its factorization.

204718104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 204718104 is about 14307.9734414067. The cubic root of 204718104 is about 589.3664596605.

The spelling of 204718104 in words is "two hundred four million, seven hundred eighteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 431 648 733 862 1293 1466 1724 2199 2586 2932 3448 3879 4398 5172 5864 6597 7758 8796 10344 11637 13194 15516 17592 19791 23274 26388 31032 34911 39582 46548 52776 59373 69822 79164 93096 118746 139644 158328 237492 279288 315923 474984 631846 947769 1263692 1895538 2527384 2843307 3791076 5686614 7582152 8529921 11373228 17059842 22746456 25589763 34119684 51179526 68239368 102359052 204718104