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204323904 = 2633235397
BaseRepresentation
bin11000010110110…
…11110001000000
3112020110201201000
430023123301000
5404301331104
632135212000
75030503341
oct1413336100
9466421630
10204323904
11a5376634
1258517000
133343c425
141d1ca0c8
1512e10639
hexc2dbc40

204323904 has 224 divisors, whose sum is σ = 645200640. Its totient is φ = 63258624.

The previous prime is 204323887. The next prime is 204324011. The reversal of 204323904 is 409323402.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2106384 + ... + 2106480.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2204323904 is an apocalyptic number.

204323904 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 204323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322600320).

204323904 is an abundant number, since it is smaller than the sum of its proper divisors (440876736).

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

204323904 is a wasteful number, since it uses less digits than its factorization.

204323904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 204323904 is about 14294.1912677843. The cubic root of 204323904 is about 588.9879268791.

It can be divided in two parts, 20432 and 3904, that added together give a square (24336 = 1562).

The spelling of 204323904 in words is "two hundred four million, three hundred twenty-three thousand, nine hundred four".