Search a number
-
+
339482910 = 235135411609
BaseRepresentation
bin10100001111000…
…001100100011110
3212122210112000010
4110033001210132
51143401423120
653404144050
711261362044
oct2417014436
9778715003
10339482910
111646a1598
1295838026
1355443180
1433130394
151ec0c7e0
hex143c191e

339482910 has 64 divisors (see below), whose sum is σ = 879600960. Its totient is φ = 83358720.

The previous prime is 339482867. The next prime is 339482929. The reversal of 339482910 is 19284933.

339482910 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 210186 + ... + 211794.

It is an arithmetic number, because the mean of its divisors is an integer number (13743765).

Almost surely, 2339482910 is an apocalyptic number.

339482910 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 339482910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439800480).

339482910 is an abundant number, since it is smaller than the sum of its proper divisors (540118050).

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

339482910 is a wasteful number, since it uses less digits than its factorization.

339482910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 339482910 is about 18425.0620080368. The cubic root of 339482910 is about 697.5991971043.

The spelling of 339482910 in words is "three hundred thirty-nine million, four hundred eighty-two thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 541 1082 1609 1623 2705 3218 3246 4827 5410 7033 8045 8115 9654 14066 16090 16230 20917 21099 24135 35165 41834 42198 48270 62751 70330 104585 105495 125502 209170 210990 313755 627510 870469 1740938 2611407 4352345 5222814 8704690 11316097 13057035 22632194 26114070 33948291 56580485 67896582 113160970 169741455 339482910