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242340012 = 2236412027
BaseRepresentation
bin11100111000111…
…01000010101100
3121220000011000000
432130131002230
5444014340022
640014104300
76001566435
oct1634350254
9556004000
10242340012
11114881702
12691ab090
133b28cc75
142428448c
151641e6ac
hexe71d0ac

242340012 has 84 divisors (see below), whose sum is σ = 651681576. Its totient is φ = 78770880.

The previous prime is 242339953. The next prime is 242340013. The reversal of 242340012 is 210043242.

242340012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242340013) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 118543 + ... + 120569.

It is an arithmetic number, because the mean of its divisors is an integer number (7758114).

Almost surely, 2242340012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242340012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325840788).

242340012 is an abundant number, since it is smaller than the sum of its proper divisors (409341564).

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

242340012 is a wasteful number, since it uses less digits than its factorization.

242340012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242340012 is about 15567.2737497611. The cubic root of 242340012 is about 623.4596839073.

Adding to 242340012 its reverse (210043242), we get a palindrome (452383254).

The spelling of 242340012 in words is "two hundred forty-two million, three hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 729 738 972 1107 1458 1476 2027 2214 2916 3321 4054 4428 6081 6642 8108 9963 12162 13284 18243 19926 24324 29889 36486 39852 54729 59778 72972 83107 109458 119556 164187 166214 218916 249321 328374 332428 492561 498642 656748 747963 985122 997284 1477683 1495926 1970244 2243889 2955366 2991852 4487778 5910732 6731667 8975556 13463334 20195001 26926668 40390002 60585003 80780004 121170006 242340012