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242420664 = 23379127859
BaseRepresentation
bin11100111001100…
…00101110111000
3121220011020122010
432130300232320
5444024430124
640015525520
76002353533
oct1634605670
9556136563
10242420664
11114927262
12692298a0
133b2ba8a5
14242a5a1a
1516438529
hexe730bb8

242420664 has 32 divisors (see below), whose sum is σ = 613728000. Its totient is φ = 79783392.

The previous prime is 242420623. The next prime is 242420669. The reversal of 242420664 is 466024242.

242420664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242420669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62034 + ... + 65825.

It is an arithmetic number, because the mean of its divisors is an integer number (19179000).

Almost surely, 2242420664 is an apocalyptic number.

242420664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242420664 is an abundant number, since it is smaller than the sum of its proper divisors (371307336).

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

242420664 is a wasteful number, since it uses less digits than its factorization.

242420664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127947 (or 127943 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 242420664 is about 15569.8639685772. The cubic root of 242420664 is about 623.5288397638.

The spelling of 242420664 in words is "two hundred forty-two million, four hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 127859 255718 383577 511436 767154 1022872 1534308 3068616 10100861 20201722 30302583 40403444 60605166 80806888 121210332 242420664