Search a number
-
+
34114180 = 2252576637
BaseRepresentation
bin1000001000100…
…0101010000100
32101012011212011
42002020222010
532213123210
63215104004
7562652152
oct202105204
971164764
1034114180
1118290541
12b512004
1370b5809
1447603d2
152edcd8a
hex2088a84

34114180 has 24 divisors (see below), whose sum is σ = 71929368. Its totient is φ = 13590528.

The previous prime is 34114159. The next prime is 34114219. The reversal of 34114180 is 8141143.

It can be written as a sum of positive squares in 4 ways, for example, as 3378244 + 30735936 = 1838^2 + 5544^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1822 + ... + 8458.

It is an arithmetic number, because the mean of its divisors is an integer number (2997057).

Almost surely, 234114180 is an apocalyptic number.

It is an amenable number.

34114180 is an abundant number, since it is smaller than the sum of its proper divisors (37815188).

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

34114180 is a wasteful number, since it uses less digits than its factorization.

34114180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 34114180 is about 5840.7345428465. The cubic root of 34114180 is about 324.3234208896.

The spelling of 34114180 in words is "thirty-four million, one hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 6637 13274 26548 33185 66370 132740 1705709 3411418 6822836 8528545 17057090 34114180