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34430928 = 2437214639
BaseRepresentation
bin1000001101010…
…1111111010000
32101210021100120
42003111333100
532303242203
63225550240
7565441500
oct203257720
971707316
1034430928
1118487514
12b645380
137196a3c
144803a00
153051b53
hex20d5fd0

34430928 has 60 divisors (see below), whose sum is σ = 103475520. Its totient is φ = 9836736.

The previous prime is 34430927. The next prime is 34430959. The reversal of 34430928 is 82903443.

34430928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34430927) 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 11 ways as a sum of consecutive naturals, for example, 4968 + ... + 9671.

It is an arithmetic number, because the mean of its divisors is an integer number (1724592).

Almost surely, 234430928 is an apocalyptic number.

It is an amenable number.

34430928 is an abundant number, since it is smaller than the sum of its proper divisors (69044592).

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

34430928 is a wasteful number, since it uses less digits than its factorization.

34430928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14664 (or 14651 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 34430928 is about 5867.7873172091. The cubic root of 34430928 is about 325.3241042949.

The spelling of 34430928 in words is "thirty-four million, four hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 14639 29278 43917 58556 87834 102473 117112 175668 204946 234224 307419 351336 409892 614838 702672 717311 819784 1229676 1434622 1639568 2151933 2459352 2869244 4303866 4918704 5738488 8607732 11476976 17215464 34430928