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34090463 = 1147233283
BaseRepresentation
bin1000001000001…
…0110111011111
32101010222022202
42002002313133
532211343323
63214402115
7562523051
oct202026737
971128282
1034090463
1118274740
12b50033b
1370a7a94
1447558d1
152ed5d28
hex2082ddf

34090463 has 16 divisors (see below), whose sum is σ = 38278656. Its totient is φ = 30095040.

The previous prime is 34090453. The next prime is 34090493. The reversal of 34090463 is 36409043.

It is a happy number.

34090463 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 34090463 - 28 = 34090207 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34090403) 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 15 ways as a sum of consecutive naturals, for example, 120320 + ... + 120602.

It is an arithmetic number, because the mean of its divisors is an integer number (2392416).

Almost surely, 234090463 is an apocalyptic number.

34090463 is a deficient number, since it is larger than the sum of its proper divisors (4188193).

34090463 is a wasteful number, since it uses less digits than its factorization.

34090463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574.

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 34090463 is about 5838.7038801433. The cubic root of 34090463 is about 324.2482443129.

The spelling of 34090463 in words is "thirty-four million, ninety thousand, four hundred sixty-three".

Divisors: 1 11 47 233 283 517 2563 3113 10951 13301 65939 120461 146311 725329 3099133 34090463