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242589320 = 23517356749
BaseRepresentation
bin11100111010110…
…01111010001000
3121220110210222122
432131121322020
5444100324240
640023310412
76003655331
oct1635317210
9556423878
10242589320
11114a31a46
12692ab408
133b34959c
142430b288
151646d4b5
hexe759e88

242589320 has 32 divisors (see below), whose sum is σ = 577935000. Its totient is φ = 91327488.

The previous prime is 242589317. The next prime is 242589343. The reversal of 242589320 is 23985242.

It can be written as a sum of positive squares in 4 ways, for example, as 241056676 + 1532644 = 15526^2 + 1238^2 .

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, 177695 + ... + 179054.

Almost surely, 2242589320 is an apocalyptic number.

242589320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242589320 is an abundant number, since it is smaller than the sum of its proper divisors (335345680).

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

242589320 is a wasteful number, since it uses less digits than its factorization.

242589320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356777 (or 356773 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 242589320 is about 15575.2791307251. The cubic root of 242589320 is about 623.6734059627.

The spelling of 242589320 in words is "two hundred forty-two million, five hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 356749 713498 1426996 1783745 2853992 3567490 6064733 7134980 12129466 14269960 24258932 30323665 48517864 60647330 121294660 242589320