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242279424 = 2103423127
BaseRepresentation
bin11100111000011…
…10010000000000
3121212220001220000
432130032100000
5444010420144
640012520000
76001225002
oct1634162000
9555801800
10242279424
11114840132
1269180000
133b26b50a
142426a372
151640b769
hexe70e400

242279424 has 220 divisors, whose sum is σ = 760894464. Its totient is φ = 76640256.

The previous prime is 242279399. The next prime is 242279459. The reversal of 242279424 is 424972242.

242279424 is a `hidden beast` number, since 2 + 4 + 227 + 9 + 424 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1907649 + ... + 1907775.

Almost surely, 2242279424 is an apocalyptic number.

242279424 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 242279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380447232).

242279424 is an abundant number, since it is smaller than the sum of its proper divisors (518615040).

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

242279424 is a wasteful number, since it uses less digits than its factorization.

242279424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 242279424 is about 15565.3276226362. The cubic root of 242279424 is about 623.4077220330.

The spelling of 242279424 in words is "two hundred forty-two million, two hundred seventy-nine thousand, four hundred twenty-four".