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242353460 = 22541295553
BaseRepresentation
bin11100111001000…
…00010100110100
3121220000211110002
432130200110310
5444020302320
640014250432
76001653566
oct1634402464
9556024402
10242353460
11114890818
12691b6a18
133b29611b
1424289336
1516423675
hexe720534

242353460 has 24 divisors (see below), whose sum is σ = 521357256. Its totient is φ = 94576640.

The previous prime is 242353429. The next prime is 242353477. The reversal of 242353460 is 64353242.

It can be written as a sum of positive squares in 4 ways, for example, as 1669264 + 240684196 = 1292^2 + 15514^2 .

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, 146957 + ... + 148596.

It is an arithmetic number, because the mean of its divisors is an integer number (21723219).

Almost surely, 2242353460 is an apocalyptic number.

242353460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242353460 is an abundant number, since it is smaller than the sum of its proper divisors (279003796).

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

242353460 is a wasteful number, since it uses less digits than its factorization.

242353460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295603 (or 295601 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 242353460 is about 15567.7056755323. The cubic root of 242353460 is about 623.4712160940.

The spelling of 242353460 in words is "two hundred forty-two million, three hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 295553 591106 1182212 1477765 2955530 5911060 12117673 24235346 48470692 60588365 121176730 242353460