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34930242 = 23231591061
BaseRepresentation
bin1000010100111…
…1111001000010
32102201122021200
42011033321002
532420231432
63244402030
7602621304
oct205177102
972648250
1034930242
1118798676
12b846316
1373100a9
1448d3974
1530eea7c
hex214fe42

34930242 has 48 divisors (see below), whose sum is σ = 79522560. Its totient is φ = 11066400.

The previous prime is 34930213. The next prime is 34930243. The reversal of 34930242 is 24203943.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34930243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32392 + ... + 33452.

It is an arithmetic number, because the mean of its divisors is an integer number (1656720).

Almost surely, 234930242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34930242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39761280).

34930242 is an abundant number, since it is smaller than the sum of its proper divisors (44592318).

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

34930242 is a wasteful number, since it uses less digits than its factorization.

34930242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34930242 is about 5910.1812154958. The cubic root of 34930242 is about 326.8891692971.

The spelling of 34930242 in words is "thirty-four million, nine hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 59 62 93 118 177 186 279 354 531 558 1061 1062 1829 2122 3183 3658 5487 6366 9549 10974 16461 19098 32891 32922 62599 65782 98673 125198 187797 197346 296019 375594 563391 592038 1126782 1940569 3881138 5821707 11643414 17465121 34930242