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242417880 = 23335224461
BaseRepresentation
bin11100111001100…
…00000011011000
3121220011002211000
432130300003120
5444024333010
640015505000
76002342445
oct1634600330
9556132730
10242417880
11114925161
1269228160
133b2b9543
14242a49cc
15164377c0
hexe7300d8

242417880 has 64 divisors (see below), whose sum is σ = 808063200. Its totient is φ = 64644480.

The previous prime is 242417863. The next prime is 242417893. The reversal of 242417880 is 88714242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111151 + ... + 113310.

Almost surely, 2242417880 is an apocalyptic number.

242417880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242417880 is an abundant number, since it is smaller than the sum of its proper divisors (565645320).

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

242417880 is a wasteful number, since it uses less digits than its factorization.

242417880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224481 (or 224471 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 242417880 is about 15569.7745648420. The cubic root of 242417880 is about 623.5264528510.

The spelling of 242417880 in words is "two hundred forty-two million, four hundred seventeen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 224461 448922 673383 897844 1122305 1346766 1795688 2020149 2244610 2693532 3366915 4040298 4489220 5387064 6060447 6733830 8080596 8978440 10100745 12120894 13467660 16161192 20201490 24241788 26935320 30302235 40402980 48483576 60604470 80805960 121208940 242417880