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34130220 = 22351733461
BaseRepresentation
bin1000001000110…
…0100100101100
32101012222212020
42002030210230
532214131340
63215310140
7563050005
oct202144454
971188766
1034130220
11182a15a3
12b51b350
1370bcbc7
1447661ac
152ee29d0
hex208c92c

34130220 has 48 divisors (see below), whose sum is σ = 101189088. Its totient is φ = 8565760.

The previous prime is 34130219. The next prime is 34130221. The reversal of 34130220 is 2203143.

It is an interprime number because it is at equal distance from previous prime (34130219) and next prime (34130221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34130220.

It is not an unprimeable number, because it can be changed into a prime (34130221) 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, 15711 + ... + 17750.

It is an arithmetic number, because the mean of its divisors is an integer number (2108106).

Almost surely, 234130220 is an apocalyptic number.

34130220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34130220 is an abundant number, since it is smaller than the sum of its proper divisors (67058868).

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

34130220 is a wasteful number, since it uses less digits than its factorization.

34130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33490 (or 33488 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34130220 is about 5842.1074964434. The cubic root of 34130220 is about 324.3742436712.

Adding to 34130220 its reverse (2203143), we get a palindrome (36333363).

The spelling of 34130220 in words is "thirty-four million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 33461 66922 100383 133844 167305 200766 334610 401532 501915 568837 669220 1003830 1137674 1706511 2007660 2275348 2844185 3413022 5688370 6826044 8532555 11376740 17065110 34130220