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240134312 = 23111927559
BaseRepresentation
bin11100101000000…
…10100010101000
3121201212002100102
432110002202220
5442433244222
635454524532
75644052015
oct1624024250
9551762312
10240134312
11113605510
1268506748
133a99a012
1423c6c70c
1516135d92
hexe5028a8

240134312 has 48 divisors (see below), whose sum is σ = 518464800. Its totient is φ = 103393440.

The previous prime is 240134291. The next prime is 240134351. The reversal of 240134312 is 213431042.

240134312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27989 + ... + 35547.

It is an arithmetic number, because the mean of its divisors is an integer number (10801350).

Almost surely, 2240134312 is an apocalyptic number.

240134312 is a gapful number since it is divisible by the number (22) 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 240134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259232400).

240134312 is an abundant number, since it is smaller than the sum of its proper divisors (278330488).

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

240134312 is a wasteful number, since it uses less digits than its factorization.

240134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 240134312 is about 15496.2676796705. The cubic root of 240134312 is about 621.5624069642.

Adding to 240134312 its reverse (213431042), we get a palindrome (453565354).

The spelling of 240134312 in words is "two hundred forty million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 361 418 722 836 1444 1672 2888 3971 7559 7942 15118 15884 30236 31768 60472 83149 143621 166298 287242 332596 574484 665192 1148968 1579831 2728799 3159662 5457598 6319324 10915196 12638648 21830392 30016789 60033578 120067156 240134312