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630457344 = 2103411691
BaseRepresentation
bin100101100101000…
…000010000000000
31121221022112220000
4211211000100000
52242344113334
6142320520000
721423541026
oct4545002000
91557275800
10630457344
112a3970a30
12157180000
13a0800aaa
145da34716
153a537299
hex25940400

630457344 has 220 divisors, whose sum is σ = 2056792848. Its totient is φ = 190771200.

The previous prime is 630457343. The next prime is 630457379. The reversal of 630457344 is 443754036.

It is a happy number.

630457344 is a `hidden beast` number, since 6 + 304 + 5 + 7 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 630457299 and 630457308.

It is not an unprimeable number, because it can be changed into a prime (630457343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 912039 + ... + 912729.

Almost surely, 2630457344 is an apocalyptic number.

630457344 is a gapful number since it is divisible by the number (64) 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 630457344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028396424).

630457344 is an abundant number, since it is smaller than the sum of its proper divisors (1426335504).

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

630457344 is a wasteful number, since it uses less digits than its factorization.

630457344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 630457344 is about 25108.9096537464. The cubic root of 630457344 is about 857.4692791029.

The spelling of 630457344 in words is "six hundred thirty million, four hundred fifty-seven thousand, three hundred forty-four".