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634480 = 245711103
BaseRepresentation
bin10011010111001110000
31012020100021
42122321300
5130300410
621333224
75251540
oct2327160
91166307
10634480
113a3770
12267214
13192a42
14127320
15c7eda
hex9ae70

634480 has 80 divisors (see below), whose sum is σ = 1857024. Its totient is φ = 195840.

The previous prime is 634471. The next prime is 634483. The reversal of 634480 is 84436.

634480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6109 + ... + 6211.

2634480 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 634480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928512).

634480 is an abundant number, since it is smaller than the sum of its proper divisors (1222544).

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

634480 is a wasteful number, since it uses less digits than its factorization.

634480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 634480 is about 796.5425286826. The cubic root of 634480 is about 85.9289118690.

The spelling of 634480 in words is "six hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 103 110 112 140 154 176 206 220 280 308 385 412 440 515 560 616 721 770 824 880 1030 1133 1232 1442 1540 1648 2060 2266 2884 3080 3605 4120 4532 5665 5768 6160 7210 7931 8240 9064 11330 11536 14420 15862 18128 22660 28840 31724 39655 45320 57680 63448 79310 90640 126896 158620 317240 634480