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339421120 = 26523107431
BaseRepresentation
bin10100001110110…
…010011111000000
3212122200101020121
4110032302133000
51143342433440
653402550024
711261013643
oct2416623700
9778611217
10339421120
1116465a125
1295808314
1355420ccc
1433115a5a
151ebe934a
hex143b27c0

339421120 has 112 divisors (see below), whose sum is σ = 853244928. Its totient is φ = 128353280.

The previous prime is 339421081. The next prime is 339421127. The reversal of 339421120 is 21124933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339421127) 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 15 ways as a sum of consecutive naturals, for example, 787305 + ... + 787735.

Almost surely, 2339421120 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 339421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426622464).

339421120 is an abundant number, since it is smaller than the sum of its proper divisors (513823808).

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

339421120 is a wasteful number, since it uses less digits than its factorization.

339421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 339421120 is about 18423.3851395448. The cubic root of 339421120 is about 697.5568707028.

The spelling of 339421120 in words is "three hundred thirty-nine million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 107 115 160 184 214 230 320 368 428 431 460 535 736 856 862 920 1070 1472 1712 1724 1840 2140 2155 2461 3424 3448 3680 4280 4310 4922 6848 6896 7360 8560 8620 9844 9913 12305 13792 17120 17240 19688 19826 24610 27584 34240 34480 39376 39652 46117 49220 49565 68960 78752 79304 92234 98440 99130 137920 157504 158608 184468 196880 198260 230585 317216 368936 393760 396520 461170 634432 737872 787520 793040 922340 1060691 1475744 1586080 1844680 2121382 2951488 3172160 3689360 4242764 5303455 7378720 8485528 10606910 14757440 16971056 21213820 33942112 42427640 67884224 84855280 169710560 339421120