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339429120 = 2835372389
BaseRepresentation
bin10100001110110…
…100011100000000
3212122200210012220
4110032310130000
51143343212440
653403051040
711261046162
oct2416643400
9778623186
10339429120
11164665138
1295810a80
1355424844
1433118932
151ebeb8d0
hex143b4700

339429120 has 144 divisors (see below), whose sum is σ = 1113816480. Its totient is φ = 88031232.

The previous prime is 339429113. The next prime is 339429131. The reversal of 339429120 is 21924933.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 140886 + ... + 143274.

Almost surely, 2339429120 is an apocalyptic number.

339429120 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 339429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556908240).

339429120 is an abundant number, since it is smaller than the sum of its proper divisors (774387360).

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

339429120 is a wasteful number, since it uses less digits than its factorization.

339429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 339429120 is about 18423.6022536311. The cubic root of 339429120 is about 697.5623510248.

The spelling of 339429120 in words is "three hundred thirty-nine million, four hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 555 592 640 740 768 888 960 1110 1184 1280 1480 1776 1920 2220 2368 2389 2960 3552 3840 4440 4736 4778 5920 7104 7167 8880 9472 9556 11840 11945 14208 14334 17760 19112 23680 23890 28416 28668 35520 35835 38224 47360 47780 57336 71040 71670 76448 88393 95560 114672 142080 143340 152896 176786 191120 229344 265179 286680 305792 353572 382240 441965 458688 530358 573360 611584 707144 764480 883930 917376 1060716 1146720 1325895 1414288 1528960 1767860 1834752 2121432 2293440 2651790 2828576 3057920 3535720 4242864 4586880 5303580 5657152 7071440 8485728 9173760 10607160 11314304 14142880 16971456 21214320 22628608 28285760 33942912 42428640 56571520 67885824 84857280 113143040 169714560 339429120