Search a number
-
+
34381460 = 2252576689
BaseRepresentation
bin1000001100100…
…1111010010100
32101200202111102
42003021322110
532300201320
63224525232
7565144331
oct203117224
971622442
1034381460
1118453333
12b620818
13717a379
1447cd988
153042175
hex20c9e94

34381460 has 24 divisors (see below), whose sum is σ = 72492840. Its totient is φ = 13697024.

The previous prime is 34381453. The next prime is 34381489. The reversal of 34381460 is 6418343.

It can be written as a sum of positive squares in 4 ways, for example, as 18905104 + 15476356 = 4348^2 + 3934^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1796 + ... + 8484.

It is an arithmetic number, because the mean of its divisors is an integer number (3020535).

Almost surely, 234381460 is an apocalyptic number.

It is an amenable number.

34381460 is an abundant number, since it is smaller than the sum of its proper divisors (38111380).

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

34381460 is a wasteful number, since it uses less digits than its factorization.

34381460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6955 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 34381460 is about 5863.5705845500. The cubic root of 34381460 is about 325.1682284874.

The spelling of 34381460 in words is "thirty-four million, three hundred eighty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 6689 13378 26756 33445 66890 133780 1719073 3438146 6876292 8595365 17190730 34381460