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630768 = 24317773
BaseRepresentation
bin10011001111111110000
31012001020210
42121333300
5130141033
621304120
75234655
oct2317760
91161223
10630768
113a09a6
12265040
13191148
14125c2c
15c6d63
hex99ff0

630768 has 40 divisors (see below), whose sum is σ = 1727568. Its totient is φ = 197632.

The previous prime is 630737. The next prime is 630797. The reversal of 630768 is 867036.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

630768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430 + ... + 1202.

2630768 is an apocalyptic number.

630768 is a gapful number since it is divisible by the number (68) 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 630768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863784).

630768 is an abundant number, since it is smaller than the sum of its proper divisors (1096800).

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

630768 is a wasteful number, since it uses less digits than its factorization.

630768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 630768 is about 794.2090404925. The cubic root of 630768 is about 85.7610094464.

The spelling of 630768 in words is "six hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 773 816 1546 2319 3092 4638 6184 9276 12368 13141 18552 26282 37104 39423 52564 78846 105128 157692 210256 315384 630768