Search a number
242970624 = 21233133

242970624 has 208 divisors, whose sum is σ = 779783200. Its totient is φ = 74760192.

The previous prime is 242970619. The next prime is 242970649. The reversal of 242970624 is 426079242.

The cubic root of 242970624 is 624.

It is a perfect power (a cube), and thus also a powerful number.

242970624 is a `hidden beast` number, since 2 + 4 + 29 + 7 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (208).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18690042 + ... + 18690054.

Almost surely, 2242970624 is an apocalyptic number.

242970624 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 242970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389891600).

242970624 is an abundant number, since it is smaller than the sum of its proper divisors (536812576).

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

242970624 is an frugal number, since it uses more digits than its factorization.

242970624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 242970624 is about 15587.5150040024.

The spelling of 242970624 in words is "two hundred forty-two million, nine hundred seventy thousand, six hundred twenty-four".