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34883364 = 22323211599
BaseRepresentation
bin1000010100010…
…0011100100100
32102122020222110
42011010130210
532412231424
63243401020
7602334525
oct205043444
972566873
1034883364
111876642a
12b823170
1372c4959
1448c084c
1530e0c29
hex2144724

34883364 has 48 divisors (see below), whose sum is σ = 85478400. Its totient is φ = 11051040.

The previous prime is 34883347. The next prime is 34883369. The reversal of 34883364 is 46338843.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34883369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57937 + ... + 58535.

It is an arithmetic number, because the mean of its divisors is an integer number (1780800).

Almost surely, 234883364 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 34883364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42739200).

34883364 is an abundant number, since it is smaller than the sum of its proper divisors (50595036).

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

34883364 is a wasteful number, since it uses less digits than its factorization.

34883364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 34883364 is about 5906.2140157634. The cubic root of 34883364 is about 326.7428703705.

The spelling of 34883364 in words is "thirty-four million, eight hundred eighty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 211 276 422 599 633 844 1198 1266 1797 2396 2532 3594 4853 7188 9706 13777 14559 19412 27554 29118 41331 55108 58236 82662 126389 165324 252778 379167 505556 758334 1516668 2906947 5813894 8720841 11627788 17441682 34883364