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242076330 = 23357011279
BaseRepresentation
bin11100110110111…
…00101010101010
3121212111202022000
432123130222222
5443432420310
640004311430
75666420616
oct1633345252
9555452260
10242076330
11114711591
12690a2576
133b1c9c42
1424216346
15163bb4c0
hexe6dcaaa

242076330 has 64 divisors (see below), whose sum is σ = 646963200. Its totient is φ = 64411200.

The previous prime is 242076301. The next prime is 242076337. The reversal of 242076330 is 33670242.

242076330 is a `hidden beast` number, since 2 + 4 + 20 + 7 + 633 + 0 = 666.

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 = 242076294 and 242076303.

It is not an unprimeable number, because it can be changed into a prime (242076337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188631 + ... + 189909.

It is an arithmetic number, because the mean of its divisors is an integer number (10108800).

Almost surely, 2242076330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242076330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323481600).

242076330 is an abundant number, since it is smaller than the sum of its proper divisors (404886870).

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

242076330 is a wasteful number, since it uses less digits than its factorization.

242076330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 242076330 is about 15558.8023317992. The cubic root of 242076330 is about 623.2334800222.

The spelling of 242076330 in words is "two hundred forty-two million, seventy-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 701 1279 1402 2103 2558 3505 3837 4206 6309 6395 7010 7674 10515 11511 12618 12790 18927 19185 21030 23022 31545 34533 37854 38370 57555 63090 69066 94635 115110 172665 189270 345330 896579 1793158 2689737 4482895 5379474 8069211 8965790 13448685 16138422 24207633 26897370 40346055 48415266 80692110 121038165 242076330