Search a number
-
+
242815644 = 2234749431
BaseRepresentation
bin11100111100100…
…01001010011100
3121220220022110000
432132101022130
5444130100034
640032214300
76005620221
oct1636211234
9556808400
10242815644
11115076a95
126939a390
133b3c85c6
1424369948
15164b5599
hexe79129c

242815644 has 30 divisors (see below), whose sum is σ = 634768904. Its totient is φ = 80938440.

The previous prime is 242815633. The next prime is 242815673. The reversal of 242815644 is 446518242.

242815644 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 1 + 5 + 644 = 666.

242815644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2428156442 = 117918873942269472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242815599 and 242815608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 374392 + ... + 375039.

Almost surely, 2242815644 is an apocalyptic number.

It is an amenable number.

242815644 is an abundant number, since it is smaller than the sum of its proper divisors (391953260).

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

242815644 is a wasteful number, since it uses less digits than its factorization.

242815644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749447 (or 749436 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 242815644 is about 15582.5429246962. The cubic root of 242815644 is about 623.8672979646.

The spelling of 242815644 in words is "two hundred forty-two million, eight hundred fifteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 749431 1498862 2248293 2997724 4496586 6744879 8993172 13489758 20234637 26979516 40469274 60703911 80938548 121407822 242815644