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34153482 = 231123149151
BaseRepresentation
bin1000001001001…
…0010000001010
32101021011202210
42002102100022
532220402412
63220005550
7563204556
oct202222012
971234683
1034153482
1118308020
12b5308b6
1370ca67c
144770866
152ee983c
hex209240a

34153482 has 64 divisors (see below), whose sum is σ = 78796800. Its totient is φ = 9768000.

The previous prime is 34153477. The next prime is 34153499. The reversal of 34153482 is 28435143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226107 + ... + 226257.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 234153482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34153482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398400).

34153482 is an abundant number, since it is smaller than the sum of its proper divisors (44643318).

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

34153482 is a wasteful number, since it uses less digits than its factorization.

34153482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its digits is 11520, while the sum is 30.

The square root of 34153482 is about 5844.0980484588. The cubic root of 34153482 is about 324.4479210948.

The spelling of 34153482 in words is "thirty-four million, one hundred fifty-three thousand, four hundred eighty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 149 151 253 298 302 447 453 506 759 894 906 1518 1639 1661 3278 3322 3427 3473 4917 4983 6854 6946 9834 9966 10281 10419 20562 20838 22499 37697 38203 44998 67497 75394 76406 113091 114609 134994 226182 229218 247489 494978 517477 742467 1034954 1484934 1552431 3104862 5692247 11384494 17076741 34153482