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34381841 = 134615737
BaseRepresentation
bin1000001100101…
…0000000010001
32101200210000112
42003022000101
532300204331
63224531105
7565145414
oct203120021
971623015
1034381841
111845364a
12b620a95
13717a5b0
1447cdb7b
15304232b
hex20ca011

34381841 has 8 divisors (see below), whose sum is σ = 37113384. Its totient is φ = 31662720.

The previous prime is 34381829. The next prime is 34381859. The reversal of 34381841 is 14818343.

It can be written as a sum of positive squares in 4 ways, for example, as 1948816 + 32433025 = 1396^2 + 5695^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34381841 - 26 = 34381777 is a prime.

It is a super-2 number, since 2×343818412 = 2364221981098562, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34381798 and 34381807.

It is not an unprimeable number, because it can be changed into a prime (34381441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3125 + ... + 8861.

It is an arithmetic number, because the mean of its divisors is an integer number (4639173).

Almost surely, 234381841 is an apocalyptic number.

It is an amenable number.

34381841 is a deficient number, since it is larger than the sum of its proper divisors (2731543).

34381841 is a wasteful number, since it uses less digits than its factorization.

34381841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211.

The product of its digits is 9216, while the sum is 32.

The square root of 34381841 is about 5863.6030731965. The cubic root of 34381841 is about 325.1694296060.

The spelling of 34381841 in words is "thirty-four million, three hundred eighty-one thousand, eight hundred forty-one".

Divisors: 1 13 461 5737 5993 74581 2644757 34381841