Search a number
-
+
34265892 = 223191371097
BaseRepresentation
bin1000001010110…
…1101100100100
32101110212222010
42002231230210
532233002032
63222234220
7564153363
oct202555444
971425863
1034265892
1118384521
12b585970
13713989b
14479d7da
15301cccc
hex20adb24

34265892 has 48 divisors (see below), whose sum is σ = 84853440. Its totient is φ = 10732032.

The previous prime is 34265887. The next prime is 34265899. The reversal of 34265892 is 29856243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34265892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34265899) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30688 + ... + 31784.

It is an arithmetic number, because the mean of its divisors is an integer number (1767780).

Almost surely, 234265892 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 34265892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42426720).

34265892 is an abundant number, since it is smaller than the sum of its proper divisors (50587548).

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

34265892 is a wasteful number, since it uses less digits than its factorization.

34265892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1258 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 34265892 is about 5853.7075430875. The cubic root of 34265892 is about 324.8034851438.

The spelling of 34265892 in words is "thirty-four million, two hundred sixty-five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 822 1097 1644 2194 2603 3291 4388 5206 6582 7809 10412 13164 15618 20843 31236 41686 62529 83372 125058 150289 250116 300578 450867 601156 901734 1803468 2855491 5710982 8566473 11421964 17132946 34265892