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687230388 = 22321338689
BaseRepresentation
bin101000111101100…
…100110110110100
31202220010220212100
4220331210312310
52401412333023
6152105422100
723013235065
oct5075446664
91686126770
10687230388
11322a183a9
1217219a930
13ac4bb000
14673b256c
15404edc43
hex28f64db4

687230388 has 72 divisors (see below), whose sum is σ = 1882080200. Its totient is φ = 211431168.

The previous prime is 687230387. The next prime is 687230417. The reversal of 687230388 is 883032786.

It can be written as a sum of positive squares in 4 ways, for example, as 82955664 + 604274724 = 9108^2 + 24582^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687230387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74748 + ... + 83436.

Almost surely, 2687230388 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 687230388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941040100).

687230388 is an abundant number, since it is smaller than the sum of its proper divisors (1194849812).

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

687230388 is a wasteful number, since it uses less digits than its factorization.

687230388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 687230388 is about 26215.0794009860. The cubic root of 687230388 is about 882.4716961072.

The spelling of 687230388 in words is "six hundred eighty-seven million, two hundred thirty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2197 3042 4394 6084 6591 8689 8788 13182 17378 19773 26067 26364 34756 39546 52134 78201 79092 104268 112957 156402 225914 312804 338871 451828 677742 1016613 1355484 1468441 2033226 2936882 4066452 4405323 5873764 8810646 13215969 17621292 19089733 26431938 38179466 52863876 57269199 76358932 114538398 171807597 229076796 343615194 687230388