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630374400 = 214345219
BaseRepresentation
bin100101100100101…
…100000000000000
31121221011100010000
4211210230000000
52242333440100
6142315040000
721423044145
oct4544540000
91557140100
10630374400
112a3914687
12157140000
13a07a2106
145da123cc
153a51c900
hex2592c000

630374400 has 450 divisors, whose sum is σ = 2458180340. Its totient is φ = 159252480.

The previous prime is 630374369. The next prime is 630374411. The reversal of 630374400 is 4473036.

It is a tau number, because it is divible by the number of its divisors (450).

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 29 ways as a sum of consecutive naturals, for example, 33177591 + ... + 33177609.

Almost surely, 2630374400 is an apocalyptic number.

630374400 is a gapful number since it is divisible by the number (60) 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 630374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229090170).

630374400 is an abundant number, since it is smaller than the sum of its proper divisors (1827805940).

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

630374400 is an equidigital number, since it uses as much as digits as its factorization.

630374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 630374400 is about 25107.2579147943. The cubic root of 630374400 is about 857.4316740999.

The spelling of 630374400 in words is "six hundred thirty million, three hundred seventy-four thousand, four hundred".