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34303940 = 22511241647
BaseRepresentation
bin1000001011011…
…0111111000100
32101112211011022
42002312333010
532240211230
63223130312
7564402326
oct202667704
971484138
1034303940
1118400070
12b5a3998
137150cb8
1447ad616
1530291e5
hex20b6fc4

34303940 has 48 divisors (see below), whose sum is σ = 79035264. Its totient is φ = 12403200.

The previous prime is 34303939. The next prime is 34303961. The reversal of 34303940 is 4930343.

34303940 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 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 15 ways as a sum of consecutive naturals, for example, 52697 + ... + 53343.

It is an arithmetic number, because the mean of its divisors is an integer number (1646568).

Almost surely, 234303940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34303940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39517632).

34303940 is an abundant number, since it is smaller than the sum of its proper divisors (44731324).

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

34303940 is a wasteful number, since it uses less digits than its factorization.

34303940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 34303940 is about 5856.9565475595. The cubic root of 34303940 is about 324.9236585977.

The spelling of 34303940 in words is "thirty-four million, three hundred three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 647 964 1205 1294 2410 2588 2651 3235 4820 5302 6470 7117 10604 12940 13255 14234 26510 28468 35585 53020 71170 142340 155927 311854 623708 779635 1559270 1715197 3118540 3430394 6860788 8575985 17151970 34303940