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630030464 = 2771096451
BaseRepresentation
bin100101100011011…
…000000010000000
31121220111212022122
4211203120002000
52242241433324
6142303423412
721420112340
oct4543300200
91556455278
10630030464
112a36aa238
12156bb4b68
13a06b16bb
145d962d20
153a4a0a5e
hex258d8080

630030464 has 64 divisors (see below), whose sum is σ = 1447828800. Its totient is φ = 267494400.

The previous prime is 630030463. The next prime is 630030473. The reversal of 630030464 is 464030036.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630030461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94439 + ... + 100889.

It is an arithmetic number, because the mean of its divisors is an integer number (22622325).

Almost surely, 2630030464 is an apocalyptic number.

630030464 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 630030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723914400).

630030464 is an abundant number, since it is smaller than the sum of its proper divisors (817798336).

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

630030464 is a wasteful number, since it uses less digits than its factorization.

630030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 630030464 is about 25100.4076460921. The cubic root of 630030464 is about 857.2757058002.

The spelling of 630030464 in words is "six hundred thirty million, thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 128 218 224 436 448 763 872 896 1526 1744 3052 3488 6104 6451 6976 12208 12902 13952 24416 25804 45157 48832 51608 90314 97664 103216 180628 206432 361256 412864 703159 722512 825728 1406318 1445024 2812636 2890048 4922113 5625272 5780096 9844226 11250544 19688452 22501088 39376904 45002176 78753808 90004352 157507616 315015232 630030464