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34201296 = 2432237509
BaseRepresentation
bin1000001001110…
…1111011010000
32101100121100200
42002131323100
532223420141
63221015200
7563464143
oct202357320
971317320
1034201296
111833aa38
12b554500
13711636c
14478405a
153008ab6
hex209ded0

34201296 has 30 divisors (see below), whose sum is σ = 95716530. Its totient is φ = 11400384.

The previous prime is 34201267. The next prime is 34201313. The reversal of 34201296 is 69210243.

It can be written as a sum of positive squares in only one way, i.e., 32901696 + 1299600 = 5736^2 + 1140^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118611 + ... + 118898.

It is an arithmetic number, because the mean of its divisors is an integer number (3190551).

Almost surely, 234201296 is an apocalyptic number.

34201296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34201296 is an abundant number, since it is smaller than the sum of its proper divisors (61515234).

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

34201296 is a wasteful number, since it uses less digits than its factorization.

34201296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237523 (or 237514 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34201296 is about 5848.1874114977. The cubic root of 34201296 is about 324.5992567545.

The spelling of 34201296 in words is "thirty-four million, two hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 237509 475018 712527 950036 1425054 1900072 2137581 2850108 3800144 4275162 5700216 8550324 11400432 17100648 34201296