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242351028 = 22342925793
BaseRepresentation
bin11100111000111…
…11101110110100
3121220000201010000
432130133232310
5444020213103
640014231300
76001643523
oct1634375664
9556021100
10242351028
11114889a07
12691b5530
133b294c9a
14242884ba
1516422aa3
hexe71fbb4

242351028 has 60 divisors (see below), whose sum is σ = 655425540. Its totient is φ = 77995008.

The previous prime is 242351003. The next prime is 242351047. The reversal of 242351028 is 820153242.

It can be written as a sum of positive squares in 2 ways, for example, as 64448784 + 177902244 = 8028^2 + 13338^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242350992 and 242351010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3501 + ... + 22292.

It is an arithmetic number, because the mean of its divisors is an integer number (10923759).

Almost surely, 2242351028 is an apocalyptic number.

It is an amenable number.

242351028 is an abundant number, since it is smaller than the sum of its proper divisors (413074512).

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

242351028 is a wasteful number, since it uses less digits than its factorization.

242351028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25838 (or 25827 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 242351028 is about 15567.6275649182. The cubic root of 242351028 is about 623.4691305903.

The spelling of 242351028 in words is "two hundred forty-two million, three hundred fifty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 25793 51586 77379 103172 154758 232137 309516 464274 696411 747997 928548 1392822 1495994 2089233 2243991 2785644 2991988 4178466 4487982 6731973 8356932 8975964 13463946 20195919 26927892 40391838 60587757 80783676 121175514 242351028