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242344820 = 22537327493
BaseRepresentation
bin11100111000111…
…10001101110100
3121220000101121002
432130132031310
5444020013240
640014142432
76001616444
oct1634361564
9556011532
10242344820
11114885283
12691b1a18
133b292203
1424286124
1516420d15
hexe71e374

242344820 has 24 divisors (see below), whose sum is σ = 522680424. Its totient is φ = 94317696.

The previous prime is 242344799. The next prime is 242344847. The reversal of 242344820 is 28443242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104939536 + 137405284 = 10244^2 + 11722^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163007 + ... + 164486.

It is an arithmetic number, because the mean of its divisors is an integer number (21778351).

Almost surely, 2242344820 is an apocalyptic number.

242344820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242344820 is an abundant number, since it is smaller than the sum of its proper divisors (280335604).

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

242344820 is a wasteful number, since it uses less digits than its factorization.

242344820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327539 (or 327537 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 242344820 is about 15567.4281755208. The cubic root of 242344820 is about 623.4638070046.

The spelling of 242344820 in words is "two hundred forty-two million, three hundred forty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 327493 654986 1309972 1637465 3274930 6549860 12117241 24234482 48468964 60586205 121172410 242344820