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242464104 = 2334374173
BaseRepresentation
bin11100111001110…
…11010101101000
3121220020110020000
432130323111220
5444032322404
640020503000
76002624301
oct1634732550
9556213200
10242464104
11114956963
126924aa60
133b3045ac
14242b77a8
1516446339
hexe73b568

242464104 has 40 divisors (see below), whose sum is σ = 679125810. Its totient is φ = 80821152.

The previous prime is 242464097. The next prime is 242464121. The reversal of 242464104 is 401464242.

It is a happy number.

242464104 is a `hidden beast` number, since 2 + 4 + 246 + 410 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 242424900 + 39204 = 15570^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 186439 + ... + 187734.

Almost surely, 2242464104 is an apocalyptic number.

242464104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242464104 is an abundant number, since it is smaller than the sum of its proper divisors (436661706).

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

242464104 is a wasteful number, since it uses less digits than its factorization.

242464104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374191 (or 374178 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242464104 is about 15571.2589086432. The cubic root of 242464104 is about 623.5660814668.

The spelling of 242464104 in words is "two hundred forty-two million, four hundred sixty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 374173 748346 1122519 1496692 2245038 2993384 3367557 4490076 6735114 8980152 10102671 13470228 20205342 26940456 30308013 40410684 60616026 80821368 121232052 242464104