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242352352 = 2511262591
BaseRepresentation
bin11100111001000…
…00000011100000
3121220000202221001
432130200003200
5444020233402
640014241344
76001650424
oct1634400340
9556022831
10242352352
1111488aa00
12691b6254
133b295778
1424288b84
1516423187
hexe7200e0

242352352 has 36 divisors (see below), whose sum is σ = 524458368. Its totient is φ = 110158400.

The previous prime is 242352337. The next prime is 242352359. The reversal of 242352352 is 253253242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 242352352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242352359) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27424 + ... + 35167.

It is an arithmetic number, because the mean of its divisors is an integer number (14568288).

Almost surely, 2242352352 is an apocalyptic number.

242352352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242352352 is an abundant number, since it is smaller than the sum of its proper divisors (282106016).

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

242352352 is a wasteful number, since it uses less digits than its factorization.

242352352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62623 (or 62604 counting only the distinct ones).

The product of its digits is 14400, while the sum is 28.

The square root of 242352352 is about 15567.6700890018. The cubic root of 242352352 is about 623.4702659567.

The spelling of 242352352 in words is "two hundred forty-two million, three hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 62591 125182 250364 500728 688501 1001456 1377002 2002912 2754004 5508008 7573511 11016016 15147022 22032032 30294044 60588088 121176176 242352352