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34106660 = 22571791361
BaseRepresentation
bin1000001000011…
…0110100100100
32101011210112122
42002012310210
532212403120
63215005112
7562621220
oct202066444
971153478
1034106660
1118285925
12b509798
1370b2273
14475b780
152edaa25
hex2086d24

34106660 has 48 divisors (see below), whose sum is σ = 82373760. Its totient is φ = 11619840.

The previous prime is 34106659. The next prime is 34106663. The reversal of 34106660 is 6660143.

It is not an unprimeable number, because it can be changed into a prime (34106663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24380 + ... + 25740.

It is an arithmetic number, because the mean of its divisors is an integer number (1716120).

Almost surely, 234106660 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 34106660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41186880).

34106660 is an abundant number, since it is smaller than the sum of its proper divisors (48267100).

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

34106660 is a wasteful number, since it uses less digits than its factorization.

34106660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 34106660 is about 5840.0907527195. The cubic root of 34106660 is about 324.2995882648.

The spelling of 34106660 in words is "thirty-four million, one hundred six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 895 1253 1361 1790 2506 2722 3580 5012 5444 6265 6805 9527 12530 13610 19054 25060 27220 38108 47635 95270 190540 243619 487238 974476 1218095 1705333 2436190 3410666 4872380 6821332 8526665 17053330 34106660