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34383132 = 22327472903
BaseRepresentation
bin1000001100101…
…0010100011100
32101200211210100
42003022110130
532300230012
63224541100
7565152240
oct203122434
971624710
1034383132
1118454613
12b621790
13717b064
1447d0420
1530428dc
hex20ca51c

34383132 has 72 divisors (see below), whose sum is σ = 101477376. Its totient is φ = 9611424.

The previous prime is 34383121. The next prime is 34383149. The reversal of 34383132 is 23138343.

34383132 is a `hidden beast` number, since 343 + 8 + 313 + 2 = 666.

It is a super-2 number, since 2×343831322 = 2364399532258848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34383096 and 34383105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10393 + ... + 13295.

It is an arithmetic number, because the mean of its divisors is an integer number (1409408).

Almost surely, 234383132 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 34383132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50738688).

34383132 is an abundant number, since it is smaller than the sum of its proper divisors (67094244).

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

34383132 is a wasteful number, since it uses less digits than its factorization.

34383132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2962 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 34383132 is about 5863.7131580595. The cubic root of 34383132 is about 325.1734994722.

The spelling of 34383132 in words is "thirty-four million, three hundred eighty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2903 2961 3948 5806 5922 8709 11612 11844 17418 20321 26127 34836 40642 52254 60963 81284 104508 121926 136441 182889 243852 272882 365778 409323 545764 731556 818646 955087 1227969 1637292 1910174 2455938 2865261 3820348 4911876 5730522 8595783 11461044 17191566 34383132