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242541380 = 22517713357
BaseRepresentation
bin11100111010011…
…10001101000100
3121220101101020002
432131032031010
5444042311010
640022300432
76003365504
oct1635161504
9556341202
10242541380
111149a9a24
1269287718
133b330813
14242d7a04
151645e1a5
hexe74e344

242541380 has 24 divisors (see below), whose sum is σ = 539298648. Its totient is φ = 91309568.

The previous prime is 242541367. The next prime is 242541433. The reversal of 242541380 is 83145242.

It is a happy number.

242541380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11075584 + 231465796 = 3328^2 + 15214^2 .

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, 356339 + ... + 357018.

It is an arithmetic number, because the mean of its divisors is an integer number (22470777).

Almost surely, 2242541380 is an apocalyptic number.

242541380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242541380 is an abundant number, since it is smaller than the sum of its proper divisors (296757268).

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

242541380 is a wasteful number, since it uses less digits than its factorization.

242541380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713383 (or 713381 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 242541380 is about 15573.7400774509. The cubic root of 242541380 is about 623.6323202397.

The spelling of 242541380 in words is "two hundred forty-two million, five hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 713357 1426714 2853428 3566785 7133570 12127069 14267140 24254138 48508276 60635345 121270690 242541380