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34482834 = 2341719659
BaseRepresentation
bin1000001110001…
…0101010010010
32101212220120000
42003202222102
532311422314
63231030430
7566046021
oct203425222
971786500
1034482834
1118512511
12b66b416
1371b4559
1448188b8
153062209
hex20e2a92

34482834 has 80 divisors (see below), whose sum is σ = 86248800. Its totient is φ = 10233216.

The previous prime is 34482829. The next prime is 34482857. The reversal of 34482834 is 43828443.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51997 + ... + 52655.

It is an arithmetic number, because the mean of its divisors is an integer number (1078110).

Almost surely, 234482834 is an apocalyptic number.

34482834 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34482834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43124400).

34482834 is an abundant number, since it is smaller than the sum of its proper divisors (51765966).

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

34482834 is a wasteful number, since it uses less digits than its factorization.

34482834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 34482834 is about 5872.2086134605. The cubic root of 34482834 is about 325.4875019092.

The spelling of 34482834 in words is "thirty-four million, four hundred eighty-two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 306 323 342 459 513 646 659 918 969 1026 1318 1377 1539 1938 1977 2754 2907 3078 3954 5814 5931 8721 11203 11862 12521 17442 17793 22406 25042 26163 33609 35586 37563 52326 53379 67218 75126 100827 106758 112689 201654 212857 225378 302481 338067 425714 604962 638571 676134 907443 1014201 1277142 1814886 1915713 2028402 3831426 5747139 11494278 17241417 34482834