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34304940 = 22325190583
BaseRepresentation
bin1000001011011…
…1001110101100
32101112212112100
42002313032230
532240224230
63223135100
7564405255
oct202671654
971485470
1034304940
111840089a
12b5a4490
1371515a7
1447adb2c
153029660
hex20b73ac

34304940 has 36 divisors (see below), whose sum is σ = 104058864. Its totient is φ = 9147936.

The previous prime is 34304917. The next prime is 34304981. The reversal of 34304940 is 4940343.

34304940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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, 95112 + ... + 95471.

It is an arithmetic number, because the mean of its divisors is an integer number (2890524).

Almost surely, 234304940 is an apocalyptic number.

34304940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34304940 is an abundant number, since it is smaller than the sum of its proper divisors (69753924).

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

34304940 is a wasteful number, since it uses less digits than its factorization.

34304940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190598 (or 190593 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34304940 is about 5857.0419155065. The cubic root of 34304940 is about 324.9268158686.

The spelling of 34304940 in words is "thirty-four million, three hundred four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 190583 381166 571749 762332 952915 1143498 1715247 1905830 2286996 2858745 3430494 3811660 5717490 6860988 8576235 11434980 17152470 34304940