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339380328 = 233717311677
BaseRepresentation
bin10100001110101…
…000100001101000
3212122121022021210
4110032220201220
51143340132303
653402033120
711260454010
oct2416504150
9778538253
10339380328
11164631511
12957a87a0
1355408581
1433104c40
151ebdc203
hex143a8868

339380328 has 64 divisors (see below), whose sum is σ = 975346560. Its totient is φ = 96397056.

The previous prime is 339380303. The next prime is 339380351. The reversal of 339380328 is 823083933.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23226 + ... + 34902.

It is an arithmetic number, because the mean of its divisors is an integer number (15239790).

Almost surely, 2339380328 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 339380328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487673280).

339380328 is an abundant number, since it is smaller than the sum of its proper divisors (635966232).

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

339380328 is a wasteful number, since it uses less digits than its factorization.

339380328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11866 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 339380328 is about 18422.2780350314. The cubic root of 339380328 is about 697.5289252017.

The spelling of 339380328 in words is "three hundred thirty-nine million, three hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 519 692 1038 1211 1384 2076 2422 3633 4152 4844 7266 9688 11677 14532 23354 29064 35031 46708 70062 81739 93416 140124 163478 245217 280248 326956 490434 653912 980868 1961736 2020121 4040242 6060363 8080484 12120726 14140847 16160968 24241452 28281694 42422541 48482904 56563388 84845082 113126776 169690164 339380328