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339230232 = 2332111074003
BaseRepresentation
bin10100001110000…
…011111000011000
3212122022200101200
4110032003320120
51143320331412
653354514200
711256260265
oct2416037030
9778280350
10339230232
11164539770
1295735960
1355385163
14330a626c
151ebac9dc
hex14383e18

339230232 has 96 divisors (see below), whose sum is σ = 1011890880. Its totient is φ = 101810880.

The previous prime is 339230207. The next prime is 339230249. The reversal of 339230232 is 232032933.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 339230196 and 339230205.

It is a congruent number.

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, 82743 + ... + 86745.

It is an arithmetic number, because the mean of its divisors is an integer number (10540530).

Almost surely, 2339230232 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 339230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505945440).

339230232 is an abundant number, since it is smaller than the sum of its proper divisors (672660648).

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

339230232 is a wasteful number, since it uses less digits than its factorization.

339230232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 339230232 is about 18418.2038212199. The cubic root of 339230232 is about 697.4260791897.

The spelling of 339230232 in words is "three hundred thirty-nine million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 107 132 198 214 264 321 396 428 642 792 856 963 1177 1284 1926 2354 2568 3531 3852 4003 4708 7062 7704 8006 9416 10593 12009 14124 16012 21186 24018 28248 32024 36027 42372 44033 48036 72054 84744 88066 96072 132099 144108 176132 264198 288216 352264 396297 428321 528396 792594 856642 1056792 1284963 1585188 1713284 2569926 3170376 3426568 3854889 4711531 5139852 7709778 9423062 10279704 14134593 15419556 18846124 28269186 30839112 37692248 42403779 56538372 84807558 113076744 169615116 339230232