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34319964 = 2237478693
BaseRepresentation
bin1000001011101…
…0111001011100
32101120122010210
42002322321130
532241214324
63223332420
7564500130
oct202727134
971518123
1034319964
1118411108
12b5b1110
137158393
1447b53c0
15302dd29
hex20bae5c

34319964 has 48 divisors (see below), whose sum is σ = 93477888. Its totient is φ = 9595968.

The previous prime is 34319959. The next prime is 34319981. The reversal of 34319964 is 46991343.

34319964 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 2×343199642 = 2355719857922592, which contains 22 as substring.

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, 399 + ... + 8294.

It is an arithmetic number, because the mean of its divisors is an integer number (1947456).

Almost surely, 234319964 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 34319964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46738944).

34319964 is an abundant number, since it is smaller than the sum of its proper divisors (59157924).

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

34319964 is a wasteful number, since it uses less digits than its factorization.

34319964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754 (or 8752 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 34319964 is about 5858.3243338006. The cubic root of 34319964 is about 324.9742433237.

The spelling of 34319964 in words is "thirty-four million, three hundred nineteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3948 8693 17386 26079 34772 52158 60851 104316 121702 182553 243404 365106 408571 730212 817142 1225713 1634284 2451426 2859997 4902852 5719994 8579991 11439988 17159982 34319964