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242432964 = 22326734249
BaseRepresentation
bin11100111001100…
…11101111000100
3121220011212111200
432130303233010
5444030323324
640020102500
76002434434
oct1634635704
9556155450
10242432964
11114935524
1269234a30
133b2c3377
14242aa2c4
151643bec9
hexe733bc4

242432964 has 18 divisors (see below), whose sum is σ = 612816750. Its totient is φ = 80810976.

The previous prime is 242432941. The next prime is 242432977. The reversal of 242432964 is 469234242.

It can be written as a sum of positive squares in only one way, i.e., 130919364 + 111513600 = 11442^2 + 10560^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6734249 = 242432964 / (2 + 4 + 2 + 4 + 3 + 2 + 9 + 6 + 4).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3367089 + ... + 3367160.

It is an arithmetic number, because the mean of its divisors is an integer number (34045375).

Almost surely, 2242432964 is an apocalyptic number.

It is an amenable number.

242432964 is an abundant number, since it is smaller than the sum of its proper divisors (370383786).

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

242432964 is a wasteful number, since it uses less digits than its factorization.

242432964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6734259 (or 6734254 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 242432964 is about 15570.2589573841. The cubic root of 242432964 is about 623.5393851726.

The spelling of 242432964 in words is "two hundred forty-two million, four hundred thirty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6734249 13468498 20202747 26936996 40405494 60608241 80810988 121216482 242432964