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634304 = 26111753
BaseRepresentation
bin10011010110111000000
31012020002202
42122313000
5130244204
621332332
75251166
oct2326700
91166082
10634304
113a3620
122670a8
13192938
14127236
15c7e1e
hex9adc0

634304 has 56 divisors (see below), whose sum is σ = 1481328. Its totient is φ = 266240.

The previous prime is 634301. The next prime is 634307. The reversal of 634304 is 403436.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (634301) and next prime (634307).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634301) 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, 11942 + ... + 11994.

2634304 is an apocalyptic number.

634304 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 634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740664).

634304 is an abundant number, since it is smaller than the sum of its proper divisors (847024).

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

634304 is a wasteful number, since it uses less digits than its factorization.

634304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 634304 is about 796.4320435543. The cubic root of 634304 is about 85.9209657888.

The spelling of 634304 in words is "six hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 53 64 68 88 106 136 176 187 212 272 352 374 424 544 583 704 748 848 901 1088 1166 1496 1696 1802 2332 2992 3392 3604 4664 5984 7208 9328 9911 11968 14416 18656 19822 28832 37312 39644 57664 79288 158576 317152 634304