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244140624 = 243271331601
BaseRepresentation
bin11101000110101…
…00101001010000
3122000101121222100
432203110221100
5444444444444
640120440400
76023106150
oct1643245120
9560347870
10244140624
111158a1512
1269919100
133b770710
14245d2760
1516677e69
hexe8d4a50

244140624 has 240 divisors, whose sum is σ = 869499904. Its totient is φ = 62208000.

The previous prime is 244140613. The next prime is 244140683. The reversal of 244140624 is 426041442.

It is a happy number.

244140624 is a `hidden beast` number, since 24 + 4 + 14 + 0 + 624 = 666.

244140624 is nontrivially palindromic in base 5.

244140624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 512-1.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

244140624 is a nontrivial repdigit in base 5.

It is a plaindrome in base 5.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405924 + ... + 406524.

Almost surely, 2244140624 is an apocalyptic number.

244140624 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 244140624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434749952).

244140624 is an abundant number, since it is smaller than the sum of its proper divisors (625359280).

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

244140624 is a wasteful number, since it uses less digits than its factorization.

244140624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 657 counting only the distinct ones).

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

The square root of 244140624 is about 15624.9999680000. Note that the first 4 decimals coincide. The cubic root of 244140624 is about 624.9999991467. Note that the first 6 decimals are identical.

The spelling of 244140624 in words is "two hundred forty-four million, one hundred forty thousand, six hundred twenty-four".