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339504048 = 2436132239
BaseRepresentation
bin10100001111000…
…110101110110000
3212122211121000000
4110033012232300
51143403112143
653404430000
711261510502
oct2417065660
9778747000
10339504048
11164706464
1295848300
135544c990
1433137d72
151ec13bd3
hex143c6bb0

339504048 has 140 divisors (see below), whose sum is σ = 1062570880. Its totient is φ = 104416128.

The previous prime is 339504007. The next prime is 339504071. The reversal of 339504048 is 840405933.

339504048 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 150513 + ... + 152751.

It is an arithmetic number, because the mean of its divisors is an integer number (7589792).

Almost surely, 2339504048 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 339504048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531285440).

339504048 is an abundant number, since it is smaller than the sum of its proper divisors (723066832).

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

339504048 is a wasteful number, since it uses less digits than its factorization.

339504048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 339504048 is about 18425.6356199725. The cubic root of 339504048 is about 697.6136755413.

The spelling of 339504048 in words is "three hundred thirty-nine million, five hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2239 2808 2916 3159 3888 4212 4478 5616 5832 6318 6717 8424 8956 9477 11664 12636 13434 16848 17912 18954 20151 25272 26868 29107 35824 37908 40302 50544 53736 58214 60453 75816 80604 87321 107472 116428 120906 151632 161208 174642 181359 232856 241812 261963 322416 349284 362718 465712 483624 523926 544077 698568 725436 785889 967248 1047852 1088154 1397136 1450872 1571778 1632231 2095704 2176308 2357667 2901744 3143556 3264462 4191408 4352616 4715334 6287112 6528924 7073001 8705232 9430668 12574224 13057848 14146002 18861336 21219003 26115696 28292004 37722672 42438006 56584008 84876012 113168016 169752024 339504048