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339849342 = 232731167521
BaseRepresentation
bin10100010000011…
…011000001111110
3212200111010122200
4110100123001332
51144000134332
653420052330
711264446260
oct2420330176
9780433580
10339849342
11164921928
12959940a6
1355540bb1
14331c7b30
151ec8117c
hex1441b07e

339849342 has 96 divisors (see below), whose sum is σ = 875556864. Its totient is φ = 93225600.

The previous prime is 339849337. The next prime is 339849343. The reversal of 339849342 is 243948933.

339849342 is a `hidden beast` number, since 33 + 98 + 493 + 42 = 666.

339849342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339849343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652042 + ... + 652562.

It is an arithmetic number, because the mean of its divisors is an integer number (9120384).

Almost surely, 2339849342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339849342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437778432).

339849342 is an abundant number, since it is smaller than the sum of its proper divisors (535707522).

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

339849342 is a wasteful number, since it uses less digits than its factorization.

339849342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 731 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 339849342 is about 18435.0031733114. The cubic root of 339849342 is about 697.8500990349.

The spelling of 339849342 in words is "three hundred thirty-nine million, eight hundred forty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 167 186 217 279 334 434 501 521 558 651 1002 1042 1169 1302 1503 1563 1953 2338 3006 3126 3507 3647 3906 4689 5177 7014 7294 9378 10354 10521 10941 15531 16151 21042 21882 31062 32302 32823 36239 46593 48453 65646 72478 87007 93186 96906 108717 113057 145359 174014 217434 226114 261021 290718 326151 339171 522042 609049 652302 678342 783063 1017513 1218098 1566126 1827147 2035026 2697217 3654294 5394434 5481441 8091651 10962882 16183302 18880519 24274953 37761038 48549906 56641557 113283114 169924671 339849342