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242420340 = 223517271877
BaseRepresentation
bin11100111001100…
…00101001110100
3121220011020012010
432130300221310
5444024422330
640015524220
76002352561
oct1634605164
9556136163
10242420340
11114926a98
1269229670
133b2ba6b6
14242a5868
15164383b0
hexe730a74

242420340 has 96 divisors (see below), whose sum is σ = 722179584. Its totient is φ = 60549120.

The previous prime is 242420333. The next prime is 242420351. The reversal of 242420340 is 43024242.

242420340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275982 + ... + 276858.

It is an arithmetic number, because the mean of its divisors is an integer number (7522704).

Almost surely, 2242420340 is an apocalyptic number.

242420340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361089792).

242420340 is an abundant number, since it is smaller than the sum of its proper divisors (479759244).

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

242420340 is a wasteful number, since it uses less digits than its factorization.

242420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 242420340 is about 15569.8535638586. The cubic root of 242420340 is about 623.5285619775.

Adding to 242420340 its reverse (43024242), we get a palindrome (285444582).

The spelling of 242420340 in words is "two hundred forty-two million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 271 340 510 542 813 877 1020 1084 1355 1626 1754 2631 2710 3252 3508 4065 4385 4607 5262 5420 8130 8770 9214 10524 13155 13821 14909 16260 17540 18428 23035 26310 27642 29818 44727 46070 52620 55284 59636 69105 74545 89454 92140 138210 149090 178908 223635 237667 276420 298180 447270 475334 713001 894540 950668 1188335 1426002 2376670 2852004 3565005 4040339 4753340 7130010 8080678 12121017 14260020 16161356 20201695 24242034 40403390 48484068 60605085 80806780 121210170 242420340