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242072340 = 22356760217
BaseRepresentation
bin11100110110110…
…11101100010100
3121212111112211020
432123123230110
5443432303330
640004241140
75666403156
oct1633335424
9555445736
10242072340
11114709594
12690a01b0
133b1c8193
1424214ad6
15163ba210
hexe6dbb14

242072340 has 48 divisors (see below), whose sum is σ = 687930432. Its totient is φ = 63588096.

The previous prime is 242072297. The next prime is 242072357. The reversal of 242072340 is 43270242.

It is a self number, because there is not a number n which added to its sum of digits gives 242072340.

It is a congruent number.

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, 26089 + ... + 34128.

It is an arithmetic number, because the mean of its divisors is an integer number (14331884).

Almost surely, 2242072340 is an apocalyptic number.

242072340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242072340 is an abundant number, since it is smaller than the sum of its proper divisors (445858092).

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

242072340 is a wasteful number, since it uses less digits than its factorization.

242072340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60296 (or 60294 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 242072340 is about 15558.6741080338. The cubic root of 242072340 is about 623.2300558746.

The spelling of 242072340 in words is "two hundred forty-two million, seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 60217 120434 180651 240868 301085 361302 602170 722604 903255 1204340 1806510 3613020 4034539 8069078 12103617 16138156 20172695 24207234 40345390 48414468 60518085 80690780 121036170 242072340