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242344680 = 23353975087
BaseRepresentation
bin11100111000111…
…10001011101000
3121220000101101220
432130132023220
5444020012210
640014142040
76001616154
oct1634361350
9556011356
10242344680
11114885166
12691b1920
133b292126
1424286064
1516420c70
hexe71e2e8

242344680 has 64 divisors (see below), whose sum is σ = 729008640. Its totient is φ = 64449792.

The previous prime is 242344679. The next prime is 242344691. The reversal of 242344680 is 86443242.

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, 45097 + ... + 50183.

It is an arithmetic number, because the mean of its divisors is an integer number (11390760).

Almost surely, 2242344680 is an apocalyptic number.

242344680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242344680 is an abundant number, since it is smaller than the sum of its proper divisors (486663960).

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

242344680 is a wasteful number, since it uses less digits than its factorization.

242344680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 242344680 is about 15567.4236789521. The cubic root of 242344680 is about 623.4636869485.

The spelling of 242344680 in words is "two hundred forty-two million, three hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 397 794 1191 1588 1985 2382 3176 3970 4764 5087 5955 7940 9528 10174 11910 15261 15880 20348 23820 25435 30522 40696 47640 50870 61044 76305 101740 122088 152610 203480 305220 610440 2019539 4039078 6058617 8078156 10097695 12117234 16156312 20195390 24234468 30293085 40390780 48468936 60586170 80781560 121172340 242344680