Search a number
-
+
34581468 = 22317283599
BaseRepresentation
bin1000001111101…
…0101111011100
32102001220212010
42003322233130
532323101333
63233111220
7566636415
oct203725734
972056763
1034581468
111857a629
12b6b8510
13721a40c
14484280c
153081563
hex20fabdc

34581468 has 48 divisors (see below), whose sum is σ = 85881600. Its totient is φ = 10792704.

The previous prime is 34581467. The next prime is 34581499. The reversal of 34581468 is 86418543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34581467) 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, 57433 + ... + 58031.

It is an arithmetic number, because the mean of its divisors is an integer number (1789200).

Almost surely, 234581468 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 34581468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42940800).

34581468 is an abundant number, since it is smaller than the sum of its proper divisors (51300132).

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

34581468 is a wasteful number, since it uses less digits than its factorization.

34581468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 904 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 34581468 is about 5880.6009896948. The cubic root of 34581468 is about 325.7975457686.

Adding to 34581468 its product of digits (92160), we get a triangular number (34673628 = T8327).

The spelling of 34581468 in words is "thirty-four million, five hundred eighty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 283 566 599 849 1132 1198 1698 1797 2396 3396 3594 4811 7188 9622 10183 14433 19244 20366 28866 30549 40732 57732 61098 122196 169517 339034 508551 678068 1017102 2034204 2881789 5763578 8645367 11527156 17290734 34581468