Search a number
-
+
34905969 = 3273161293
BaseRepresentation
bin1000010100100…
…1111101110001
32102200101222200
42011021331301
532413442334
63244053413
7602460450
oct205117561
972611880
1034905969
111878140a
12b834269
137302027
1448c8b97
1530e7799
hex2149f71

34905969 has 48 divisors (see below), whose sum is σ = 60662784. Its totient is φ = 18921600.

The previous prime is 34905919. The next prime is 34905971. The reversal of 34905969 is 96950943.

34905969 = T164 + T165 + ... + T597.

It is a happy number.

34905969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34905969 - 29 = 34905457 is a prime.

It is a super-2 number, since 2×349059692 = 2436853343657922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34905919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118987 + ... + 119279.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 234905969 is an apocalyptic number.

It is an amenable number.

34905969 is a deficient number, since it is larger than the sum of its proper divisors (25756815).

34905969 is a wasteful number, since it uses less digits than its factorization.

34905969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 34905969 is about 5908.1273682953. The cubic root of 34905969 is about 326.8134334020.

The spelling of 34905969 in words is "thirty-four million, nine hundred five thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 31 61 63 93 183 217 279 293 427 549 651 879 1281 1891 1953 2051 2637 3843 5673 6153 9083 13237 17019 17873 18459 27249 39711 53619 63581 81747 119133 125111 160857 190743 375333 554063 572229 1125999 1662189 3878441 4986567 11635323 34905969