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34119150 = 23521317497
BaseRepresentation
bin1000001000100…
…1110111101110
32101012102200020
42002021313232
532213303100
63215143010
7563002512
oct202116756
971172606
1034119150
111829424a
12b514a66
1370b7b60
144762142
152ede5a0
hex2089dee

34119150 has 48 divisors (see below), whose sum is σ = 91129584. Its totient is φ = 8398080.

The previous prime is 34119131. The next prime is 34119157. The reversal of 34119150 is 5191143.

34119150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34119150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34119157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6799 + ... + 10698.

It is an arithmetic number, because the mean of its divisors is an integer number (1898533).

Almost surely, 234119150 is an apocalyptic number.

34119150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34119150 is an abundant number, since it is smaller than the sum of its proper divisors (57010434).

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

34119150 is a wasteful number, since it uses less digits than its factorization.

34119150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17525 (or 17520 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 34119150 is about 5841.1599875367. The cubic root of 34119150 is about 324.3391700505.

It can be divided in two parts, 3411 and 9150, that added together give a triangular number (12561 = T158).

The spelling of 34119150 in words is "thirty-four million, one hundred nineteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 17497 34994 52491 87485 104982 174970 227461 262455 437425 454922 524910 682383 874850 1137305 1312275 1364766 2274610 2624550 3411915 5686525 6823830 11373050 17059575 34119150