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339928392 = 2331931139173
BaseRepresentation
bin10100010000101…
…110010101001000
3212200122011002110
4110100232111020
51144010202032
653421502320
711265225606
oct2420562510
9780564073
10339928392
11164976261
1295a119a0
135556ab7b
1433208876
151ec997cc
hex1442e548

339928392 has 128 divisors (see below), whose sum is σ = 935424000. Its totient is φ = 102539520.

The previous prime is 339928387. The next prime is 339928427. The reversal of 339928392 is 293829933.

339928392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1964818 + ... + 1964990.

It is an arithmetic number, because the mean of its divisors is an integer number (7308000).

Almost surely, 2339928392 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 339928392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467712000).

339928392 is an abundant number, since it is smaller than the sum of its proper divisors (595495608).

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

339928392 is a wasteful number, since it uses less digits than its factorization.

339928392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its digits is 629856, while the sum is 48.

The square root of 339928392 is about 18437.1470678085. The cubic root of 339928392 is about 697.9042021985.

The spelling of 339928392 in words is "three hundred thirty-nine million, nine hundred twenty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 139 152 173 186 228 248 278 346 372 417 456 519 556 589 692 744 834 1038 1112 1178 1384 1668 1767 2076 2356 2641 3287 3336 3534 4152 4309 4712 5282 5363 6574 7068 7923 8618 9861 10564 10726 12927 13148 14136 15846 16089 17236 19722 21128 21452 24047 25854 26296 31692 32178 34472 39444 42904 48094 51708 63384 64356 72141 78888 81871 96188 101897 103416 128712 144282 163742 192376 203794 245613 288564 305691 327484 407588 456893 491226 577128 611382 654968 745457 815176 913786 982452 1222764 1370679 1490914 1827572 1964904 2236371 2445528 2741358 2981828 3655144 4472742 5482716 5963656 8945484 10965432 14163683 17890968 28327366 42491049 56654732 84982098 113309464 169964196 339928392