Search a number
-
+
240414012 = 223237180491
BaseRepresentation
bin11100101010001…
…10110100111100
3121202101022000200
432111012310330
5443021222022
635504523500
75646325326
oct1625066474
9552338020
10240414012
11113786673
1268620590
133aa67417
1423d02616
151618dbac
hexe546d3c

240414012 has 36 divisors (see below), whose sum is σ = 624141336. Its totient is φ = 77971680.

The previous prime is 240413981. The next prime is 240414061. The reversal of 240414012 is 210414042.

240414012 is a `hidden beast` number, since 240 + 414 + 0 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2404140122 = 115597794331872288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 88914 + ... + 91577.

Almost surely, 2240414012 is an apocalyptic number.

It is an amenable number.

240414012 is an abundant number, since it is smaller than the sum of its proper divisors (383727324).

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

240414012 is a wasteful number, since it uses less digits than its factorization.

240414012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180538 (or 180533 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 240414012 is about 15505.2898070304. The cubic root of 240414012 is about 621.8036380054.

Adding to 240414012 its reverse (210414042), we get a palindrome (450828054).

The spelling of 240414012 in words is "two hundred forty million, four hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 180491 360982 541473 721964 1082946 1624419 2165892 3248838 6497676 6678167 13356334 20034501 26712668 40069002 60103503 80138004 120207006 240414012