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34272096 = 253794519
BaseRepresentation
bin1000001010111…
…1001101100000
32101111012110220
42002233031200
532233201341
63222323040
7564210435
oct202571540
971435426
1034272096
1118389151
12b589480
13713c661
1447a1b8c
15301ea66
hex20af360

34272096 has 48 divisors (see below), whose sum is σ = 91123200. Its totient is φ = 11276928.

The previous prime is 34272083. The next prime is 34272103. The reversal of 34272096 is 69027243.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5325 + ... + 9843.

It is an arithmetic number, because the mean of its divisors is an integer number (1898400).

Almost surely, 234272096 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 34272096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45561600).

34272096 is an abundant number, since it is smaller than the sum of its proper divisors (56851104).

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

34272096 is a wasteful number, since it uses less digits than its factorization.

34272096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 34272096 is about 5854.2374396671. The cubic root of 34272096 is about 324.8230863576.

The spelling of 34272096 in words is "thirty-four million, two hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 4519 7584 9038 13557 18076 27114 36152 54228 72304 108456 144608 216912 357001 433824 714002 1071003 1428004 2142006 2856008 4284012 5712016 8568024 11424032 17136048 34272096