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34137290 = 251123103131
BaseRepresentation
bin1000001000111…
…0010011001010
32101020100120002
42002032103022
532214343130
63215403002
7563106425
oct202162312
971210502
1034137290
11182a6940
12b523462
1370c31a5
1447689bc
152ee4b45
hex208e4ca

34137290 has 64 divisors (see below), whose sum is σ = 71165952. Its totient is φ = 11668800.

The previous prime is 34137289. The next prime is 34137329. The reversal of 34137290 is 9273143.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260525 + ... + 260655.

It is an arithmetic number, because the mean of its divisors is an integer number (1111968).

Almost surely, 234137290 is an apocalyptic number.

34137290 is an abundant number, since it is smaller than the sum of its proper divisors (37028662).

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

34137290 is a wasteful number, since it uses less digits than its factorization.

34137290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 34137290 is about 5842.7125549697. The cubic root of 34137290 is about 324.3966399285.

The spelling of 34137290 in words is "thirty-four million, one hundred thirty-seven thousand, two hundred ninety".

Divisors: 1 2 5 10 11 22 23 46 55 103 110 115 131 206 230 253 262 506 515 655 1030 1133 1265 1310 1441 2266 2369 2530 2882 3013 4738 5665 6026 7205 11330 11845 13493 14410 15065 23690 26059 26986 30130 33143 52118 66286 67465 130295 134930 148423 165715 260590 296846 310339 331430 620678 742115 1484230 1551695 3103390 3413729 6827458 17068645 34137290