Search a number
-
+
630834048 = 27331319739
BaseRepresentation
bin100101100110011…
…100001110000000
31121222000200122000
4211212130032000
52242443142143
6142332544000
721430000215
oct4546341600
91558020560
10630834048
112a40a8a59
12157322000
13a09033b0
145dad1b0c
153a5adbd3
hex2599c380

630834048 has 256 divisors, whose sum is σ = 2113440000. Its totient is φ = 183638016.

The previous prime is 630834023. The next prime is 630834073. The reversal of 630834048 is 840438036.

630834048 is a `hidden beast` number, since 6 + 308 + 340 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (630834023) and next prime (630834073).

It is a super-2 number, since 2×6308340482 = 795903192232132608, which contains 22 as substring.

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

It is a congruent number.

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, 853263 + ... + 854001.

It is an arithmetic number, because the mean of its divisors is an integer number (8255625).

Almost surely, 2630834048 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 630834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056720000).

630834048 is an abundant number, since it is smaller than the sum of its proper divisors (1482605952).

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

630834048 is a wasteful number, since it uses less digits than its factorization.

630834048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 630834048 is about 25116.4099345428. The cubic root of 630834048 is about 857.6400269986.

The spelling of 630834048 in words is "six hundred thirty million, eight hundred thirty-four thousand, forty-eight".