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242342460 = 223258571571
BaseRepresentation
bin11100111000111…
…01101000111100
3121220000021100200
432130131220330
5444014424320
640014123500
76001606533
oct1634355074
9556007320
10242342460
11114883528
12691b0590
133b291109
142428531a
1516420290
hexe71da3c

242342460 has 72 divisors (see below), whose sum is σ = 736431696. Its totient is φ = 64508160.

The previous prime is 242342393. The next prime is 242342479. The reversal of 242342460 is 64243242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153475 + ... + 155045.

It is an arithmetic number, because the mean of its divisors is an integer number (10228218).

Almost surely, 2242342460 is an apocalyptic number.

242342460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242342460 is an abundant number, since it is smaller than the sum of its proper divisors (494089236).

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

242342460 is a wasteful number, since it uses less digits than its factorization.

242342460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 242342460 is about 15567.3523760465. The cubic root of 242342460 is about 623.4617831949.

The spelling of 242342460 in words is "two hundred forty-two million, three hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 857 1571 1714 2571 3142 3428 4285 4713 5142 6284 7713 7855 8570 9426 10284 12855 14139 15426 15710 17140 18852 23565 25710 28278 30852 31420 38565 47130 51420 56556 70695 77130 94260 141390 154260 282780 1346347 2692694 4039041 5385388 6731735 8078082 12117123 13463470 16156164 20195205 24234246 26926940 40390410 48468492 60585615 80780820 121171230 242342460