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242360328 = 23371442621
BaseRepresentation
bin11100111001000…
…10000000001000
3121220001011212110
432130202000020
5444021012303
640014342320
76002012610
oct1634420010
9556034773
10242360328
111148959a1
12691ba9a0
133b2992a2
142428ba40
1516425703
hexe722008

242360328 has 32 divisors (see below), whose sum is σ = 692458560. Its totient is φ = 69245760.

The previous prime is 242360311. The next prime is 242360357. The reversal of 242360328 is 823063242.

It is a junction number, because it is equal to n+sod(n) for n = 242360295 and 242360304.

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, 721143 + ... + 721478.

It is an arithmetic number, because the mean of its divisors is an integer number (21639330).

Almost surely, 2242360328 is an apocalyptic number.

242360328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

242360328 is an abundant number, since it is smaller than the sum of its proper divisors (450098232).

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

242360328 is a wasteful number, since it uses less digits than its factorization.

242360328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442637 (or 1442633 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 242360328 is about 15567.9262588182. The cubic root of 242360328 is about 623.4771055083.

The spelling of 242360328 in words is "two hundred forty-two million, three hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1442621 2885242 4327863 5770484 8655726 10098347 11540968 17311452 20196694 30295041 34622904 40393388 60590082 80786776 121180164 242360328