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204346048 = 2631127811
BaseRepresentation
bin11000010111000…
…01001011000000
3112020111212002011
430023201023000
5404303033143
632135502304
75030625034
oct1413411300
9466455064
10204346048
11a5391235
1258527994
133344952a
141d1d41c4
1512e16e9d
hexc2e12c0

204346048 has 56 divisors (see below), whose sum is σ = 422395904. Its totient is φ = 97977600.

The previous prime is 204346039. The next prime is 204346067. The reversal of 204346048 is 840643402.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251563 + ... + 252373.

It is an arithmetic number, because the mean of its divisors is an integer number (7542784).

Almost surely, 2204346048 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 204346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211197952).

204346048 is an abundant number, since it is smaller than the sum of its proper divisors (218049856).

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

204346048 is a wasteful number, since it uses less digits than its factorization.

204346048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 204346048 is about 14294.9658271715. The cubic root of 204346048 is about 589.0092036807.

The spelling of 204346048 in words is "two hundred four million, three hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 248 254 496 508 811 992 1016 1622 1984 2032 3244 3937 4064 6488 7874 8128 12976 15748 25141 25952 31496 50282 51904 62992 100564 102997 125984 201128 205994 251968 402256 411988 804512 823976 1609024 1647952 3192907 3295904 6385814 6591808 12771628 25543256 51086512 102173024 204346048