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34304994 = 23219372711
BaseRepresentation
bin1000001011011…
…1001111100010
32101112212121100
42002313033202
532240224434
63223135230
7564405363
oct202671742
971485540
1034304994
1118400939
12b5a4516
137151619
1447adb6a
153029699
hex20b73e2

34304994 has 48 divisors (see below), whose sum is σ = 80383680. Its totient is φ = 10536480.

The previous prime is 34304993. The next prime is 34305017. The reversal of 34304994 is 49940343.

34304994 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×343049942 = 2353665226680072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34304993) 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 23 ways as a sum of consecutive naturals, for example, 11299 + ... + 14009.

It is an arithmetic number, because the mean of its divisors is an integer number (1674660).

Almost surely, 234304994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34304994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40191840).

34304994 is an abundant number, since it is smaller than the sum of its proper divisors (46078686).

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

34304994 is a wasteful number, since it uses less digits than its factorization.

34304994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 34304994 is about 5857.0465253402. The cubic root of 34304994 is about 324.9269863595.

The spelling of 34304994 in words is "thirty-four million, three hundred four thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 2711 4218 5422 6327 8133 12654 16266 24399 48798 51509 100307 103018 154527 200614 300921 309054 463581 601842 902763 927162 1805526 1905833 3811666 5717499 11434998 17152497 34304994