Search a number
-
+
34356996 = 22322932909
BaseRepresentation
bin1000001100001…
…1111100000100
32101122111221100
42003003330010
532243410441
63224220100
7565013112
oct203037404
971574840
1034356996
1118436a13
12b60a630
13716c1ab
1447c4ab2
153039cb6
hex20c3f04

34356996 has 36 divisors (see below), whose sum is σ = 89844300. Its totient is φ = 11057088.

The previous prime is 34356961. The next prime is 34357003. The reversal of 34356996 is 69965343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24206400 + 10150596 = 4920^2 + 3186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15411 + ... + 17498.

It is an arithmetic number, because the mean of its divisors is an integer number (2495675).

Almost surely, 234356996 is an apocalyptic number.

34356996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34356996 is an abundant number, since it is smaller than the sum of its proper divisors (55487304).

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

34356996 is a wasteful number, since it uses less digits than its factorization.

34356996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32948 (or 32943 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 34356996 is about 5861.4841124070. The cubic root of 34356996 is about 325.0910861065.

The spelling of 34356996 in words is "thirty-four million, three hundred fifty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 32909 65818 98727 131636 197454 296181 394908 592362 954361 1184724 1908722 2863083 3817444 5726166 8589249 11452332 17178498 34356996