Search a number
-
+
34904905 = 572142469
BaseRepresentation
bin1000010100100…
…1101101001001
32102200100112021
42011021231021
532413424110
63244044441
7602454400
oct205115511
972610467
1034904905
1118780632
12b833721
1373016b9
1448c8637
1530e72da
hex2149b49

34904905 has 12 divisors (see below), whose sum is σ = 48724740. Its totient is φ = 23934624.

The previous prime is 34904873. The next prime is 34904929. The reversal of 34904905 is 50940943.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 22458121 = 3528^2 + 4739^2 .

It is not a de Polignac number, because 34904905 - 25 = 34904873 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70990 + ... + 71479.

It is an arithmetic number, because the mean of its divisors is an integer number (4060395).

Almost surely, 234904905 is an apocalyptic number.

34904905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34904905 is a deficient number, since it is larger than the sum of its proper divisors (13819835).

34904905 is a wasteful number, since it uses less digits than its factorization.

34904905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142488 (or 142481 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 34904905 is about 5908.0373221570. The cubic root of 34904905 is about 326.8101127376.

The spelling of 34904905 in words is "thirty-four million, nine hundred four thousand, nine hundred five".

Divisors: 1 5 7 35 49 245 142469 712345 997283 4986415 6980981 34904905