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32830956 = 22325317207
BaseRepresentation
bin111110100111…
…1010111101100
32021202222121100
41331033113230
531401042311
63131403100
7546026034
oct175172754
967688540
1032830956
1117594424
12abb3490
136a56702
1445088c4
152d37a56
hex1f4f5ec

32830956 has 36 divisors (see below), whose sum is σ = 84560112. Its totient is φ = 10736544.

The previous prime is 32830949. The next prime is 32830991. The reversal of 32830956 is 65903823.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 32830956.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6696 + ... + 10511.

It is an arithmetic number, because the mean of its divisors is an integer number (2348892).

Almost surely, 232830956 is an apocalyptic number.

32830956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32830956 is an abundant number, since it is smaller than the sum of its proper divisors (51729156).

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

32830956 is a wasteful number, since it uses less digits than its factorization.

32830956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17270 (or 17265 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 32830956 is about 5729.8303639811. The cubic root of 32830956 is about 320.2048037910.

The spelling of 32830956 in words is "thirty-two million, eight hundred thirty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 17207 34414 51621 68828 103242 154863 206484 309726 619452 911971 1823942 2735913 3647884 5471826 8207739 10943652 16415478 32830956