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204496320 = 2635730431
BaseRepresentation
bin11000011000001…
…01110111000000
3112020210111012210
430030011313000
5404322340240
632143022120
75032122120
oct1414056700
9466714183
10204496320
11a5484126
125859a940
133349ca52
141d232c80
1512e46780
hexc305dc0

204496320 has 112 divisors (see below), whose sum is σ = 742053888. Its totient is φ = 46740480.

The previous prime is 204496283. The next prime is 204496321. The reversal of 204496320 is 23694402.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204496321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8496 + ... + 21935.

Almost surely, 2204496320 is an apocalyptic number.

204496320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204496320 is an abundant number, since it is smaller than the sum of its proper divisors (537557568).

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

204496320 is a wasteful number, since it uses less digits than its factorization.

204496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30458 (or 30448 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 204496320 is about 14300.2209773136. The cubic root of 204496320 is about 589.1535501691.

The spelling of 204496320 in words is "two hundred four million, four hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 30431 60862 91293 121724 152155 182586 213017 243448 304310 365172 426034 456465 486896 608620 639051 730344 852068 912930 973792 1065085 1217240 1278102 1460688 1704136 1825860 1947584 2130170 2434480 2556204 2921376 3195255 3408272 3651720 4260340 4868960 5112408 5842752 6390510 6816544 7303440 8520680 9737920 10224816 12781020 13633088 14606880 17041360 20449632 25562040 29213760 34082720 40899264 51124080 68165440 102248160 204496320