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242634312 = 23331123307
BaseRepresentation
bin11100111011001…
…00111001001000
3121220120002201000
432131210321020
5444103244222
640024255000
76004233444
oct1635447110
9556502630
10242634312
11114a62828
1269311460
133b363bcb
142431d824
151647b9ac
hexe764e48

242634312 has 32 divisors (see below), whose sum is σ = 673984800. Its totient is φ = 80878032.

The previous prime is 242634311. The next prime is 242634323. The reversal of 242634312 is 213436242.

242634312 is a `hidden beast` number, since 24 + 2 + 634 + 3 + 1 + 2 = 666.

242634312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (242634311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561438 + ... + 561869.

It is an arithmetic number, because the mean of its divisors is an integer number (21062025).

Almost surely, 2242634312 is an apocalyptic number.

It is an amenable number.

242634312 is an abundant number, since it is smaller than the sum of its proper divisors (431350488).

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

242634312 is a wasteful number, since it uses less digits than its factorization.

242634312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123322 (or 1123312 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 242634312 is about 15576.7234038484. The cubic root of 242634312 is about 623.7119602560.

The spelling of 242634312 in words is "two hundred forty-two million, six hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1123307 2246614 3369921 4493228 6739842 8986456 10109763 13479684 20219526 26959368 30329289 40439052 60658578 80878104 121317156 242634312