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242351540 = 22557721001
BaseRepresentation
bin11100111000111…
…11110110110100
3121220000201210222
432130133312310
5444020222130
640014233512
76001645154
oct1634376664
9556021728
10242351540
1111488a332
12691b5898
133b2952a2
1424288764
1516422ce5
hexe71fdb4

242351540 has 24 divisors (see below), whose sum is σ = 509844552. Its totient is φ = 96768000.

The previous prime is 242351513. The next prime is 242351573. The reversal of 242351540 is 45153242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60155536 + 182196004 = 7756^2 + 13498^2 .

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, 1040 + ... + 22040.

It is an arithmetic number, because the mean of its divisors is an integer number (21243523).

Almost surely, 2242351540 is an apocalyptic number.

242351540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242351540 is an abundant number, since it is smaller than the sum of its proper divisors (267493012).

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

242351540 is a wasteful number, since it uses less digits than its factorization.

242351540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21587 (or 21585 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 242351540 is about 15567.6440092906. The cubic root of 242351540 is about 623.4695696449.

The spelling of 242351540 in words is "two hundred forty-two million, three hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 577 1154 2308 2885 5770 11540 21001 42002 84004 105005 210010 420020 12117577 24235154 48470308 60587885 121175770 242351540