Search a number
-
+
339039360 = 27325115351
BaseRepresentation
bin10100001101010…
…101010010000000
3212121221222120100
4110031111102000
51143243224420
653350442400
711254533642
oct2415252200
9777858510
10339039360
11164419320
1295663400
135531930a
1433056892
151eb71190
hex14355480

339039360 has 192 divisors, whose sum is σ = 1277415360. Its totient is φ = 82176000.

The previous prime is 339039307. The next prime is 339039419. The reversal of 339039360 is 63930933.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3390393602 = 229895375258419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60685 + ... + 66035.

It is an arithmetic number, because the mean of its divisors is an integer number (6653205).

Almost surely, 2339039360 is an apocalyptic number.

339039360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638707680).

339039360 is an abundant number, since it is smaller than the sum of its proper divisors (938376000).

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

339039360 is a wasteful number, since it uses less digits than its factorization.

339039360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 36.

The square root of 339039360 is about 18413.0214793770. The cubic root of 339039360 is about 697.2952495713.

The spelling of 339039360 in words is "three hundred thirty-nine million, thirty-nine thousand, three hundred sixty".