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34137220 = 22513131297
BaseRepresentation
bin1000001000111…
…0010010000100
32101020100110111
42002032102010
532214342340
63215402404
7563106265
oct202162204
971210414
1034137220
11182a6887
12b523404
1370c3150
14476896c
152ee4aea
hex208e484

34137220 has 24 divisors (see below), whose sum is σ = 77203224. Its totient is φ = 12604416.

The previous prime is 34137211. The next prime is 34137251. The reversal of 34137220 is 2273143.

It can be written as a sum of positive squares in 4 ways, for example, as 311364 + 33825856 = 558^2 + 5816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34137191 and 34137200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65389 + ... + 65908.

It is an arithmetic number, because the mean of its divisors is an integer number (3216801).

Almost surely, 234137220 is an apocalyptic number.

It is an amenable number.

34137220 is an abundant number, since it is smaller than the sum of its proper divisors (43066004).

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

34137220 is a wasteful number, since it uses less digits than its factorization.

34137220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131319 (or 131317 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 34137220 is about 5842.7065645983. The cubic root of 34137220 is about 324.3964181986.

The spelling of 34137220 in words is "thirty-four million, one hundred thirty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 131297 262594 525188 656485 1312970 1706861 2625940 3413722 6827444 8534305 17068610 34137220