Search a number
-
+
34059828 = 223111631583
BaseRepresentation
bin1000000111101…
…1011000110100
32101002102022010
42001323120310
532204403303
63214004220
7562334535
oct201733064
971072263
1034059828
1118253720
12b4a6670
137096b5a
14474868c
152ecbc03
hex207b634

34059828 has 48 divisors (see below), whose sum is σ = 87284736. Its totient is φ = 10251360.

The previous prime is 34059791. The next prime is 34059841. The reversal of 34059828 is 82895043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20725 + ... + 22307.

It is an arithmetic number, because the mean of its divisors is an integer number (1818432).

Almost surely, 234059828 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 34059828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43642368).

34059828 is an abundant number, since it is smaller than the sum of its proper divisors (53224908).

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

34059828 is a wasteful number, since it uses less digits than its factorization.

34059828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 34059828 is about 5836.0798486655. The cubic root of 34059828 is about 324.1510878936.

The spelling of 34059828 in words is "thirty-four million, fifty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 163 326 489 652 978 1583 1793 1956 3166 3586 4749 5379 6332 7172 9498 10758 17413 18996 21516 34826 52239 69652 104478 208956 258029 516058 774087 1032116 1548174 2838319 3096348 5676638 8514957 11353276 17029914 34059828