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240080704 = 2689113373
BaseRepresentation
bin11100100111101…
…01011101000000
3121201202100210221
432103311131000
5442430040304
635453432424
75643436513
oct1623653500
9551670727
10240080704
11113579206
126849b714
133a97b7b6
1423c56d7a
1516125054
hexe4f5740

240080704 has 56 divisors (see below), whose sum is σ = 487329480. Its totient is φ = 117325824.

The previous prime is 240080683. The next prime is 240080717. The reversal of 240080704 is 407080042.

240080704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1440000 + 238640704 = 1200^2 + 15448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643462 + ... + 643834.

Almost surely, 2240080704 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 240080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243664740).

240080704 is an abundant number, since it is smaller than the sum of its proper divisors (247248776).

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

240080704 is a wasteful number, since it uses less digits than its factorization.

240080704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 240080704 is about 15494.5378762969. The cubic root of 240080704 is about 621.5161506322.

The spelling of 240080704 in words is "two hundred forty million, eighty thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 89 113 178 226 356 373 452 712 746 904 1424 1492 1808 2848 2984 3616 5696 5968 7232 10057 11936 20114 23872 33197 40228 42149 66394 80456 84298 132788 160912 168596 265576 321824 337192 531152 643648 674384 1062304 1348768 2124608 2697536 3751261 7502522 15005044 30010088 60020176 120040352 240080704