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242764704 = 253271359157
BaseRepresentation
bin11100111100001…
…00101110100000
3121220210201120100
432132010232200
5444121432304
640031142400
76005315550
oct1636045640
9556721510
10242764704
11115041796
1269374a00
133b3ab370
1424355160
15164a5439
hexe784ba0

242764704 has 288 divisors, whose sum is σ = 869581440. Its totient is φ = 62539776.

The previous prime is 242764693. The next prime is 242764721. The reversal of 242764704 is 407467242.

It is a happy number.

242764704 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 647 + 0 + 4 = 666.

242764704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546194 + ... + 1546350.

It is an arithmetic number, because the mean of its divisors is an integer number (3019380).

Almost surely, 2242764704 is an apocalyptic number.

242764704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242764704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434790720).

242764704 is an abundant number, since it is smaller than the sum of its proper divisors (626816736).

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

242764704 is a wasteful number, since it uses less digits than its factorization.

242764704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 242764704 is about 15580.9083175532. The cubic root of 242764704 is about 623.8236681250.

The spelling of 242764704 in words is "two hundred forty-two million, seven hundred sixty-four thousand, seven hundred four".