Search a number
-
+
34361096 = 237113461
BaseRepresentation
bin1000001100010…
…0111100001000
32101122201120012
42003010330020
532244023341
63224251052
7565031060
oct203047410
971581505
1034361096
111843a000
12b610a88
137171013
1447c63a0
15303b0eb
hex20c4f08

34361096 has 64 divisors (see below), whose sum is σ = 81164160. Its totient is φ = 13358400.

The previous prime is 34361083. The next prime is 34361099. The reversal of 34361096 is 69016343.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34361099) 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, 74306 + ... + 74766.

It is an arithmetic number, because the mean of its divisors is an integer number (1268190).

Almost surely, 234361096 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 34361096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40582080).

34361096 is an abundant number, since it is smaller than the sum of its proper divisors (46803064).

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

34361096 is a wasteful number, since it uses less digits than its factorization.

34361096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 34361096 is about 5861.8338427492. The cubic root of 34361096 is about 325.1040171985.

The spelling of 34361096 in words is "thirty-four million, three hundred sixty-one thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 461 484 616 847 922 968 1331 1694 1844 2662 3227 3388 3688 5071 5324 6454 6776 9317 10142 10648 12908 18634 20284 25816 35497 37268 40568 55781 70994 74536 111562 141988 223124 283976 390467 446248 613591 780934 1227182 1561868 2454364 3123736 4295137 4908728 8590274 17180548 34361096