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339434810 = 251113219312
BaseRepresentation
bin10100001110110…
…101110100111010
3212122201002000122
4110032311310322
51143343403220
653403133242
711261101601
oct2416656472
9778632018
10339434810
11164669440
1295814222
1355427300
143311aa38
151ebed425
hex143b5d3a

339434810 has 144 divisors (see below), whose sum is σ = 785026080. Its totient is φ = 104457600.

The previous prime is 339434807. The next prime is 339434813. The reversal of 339434810 is 18434933.

It is an interprime number because it is at equal distance from previous prime (339434807) and next prime (339434813).

It is a super-2 number, since 2×3394348102 = 230431980479472200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (339434813) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10949495 + ... + 10949525.

It is an arithmetic number, because the mean of its divisors is an integer number (5451570).

Almost surely, 2339434810 is an apocalyptic number.

339434810 is an abundant number, since it is smaller than the sum of its proper divisors (445591270).

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

339434810 is a wasteful number, since it uses less digits than its factorization.

339434810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 339434810 is about 18423.7566744679. The cubic root of 339434810 is about 697.5662488515.

The spelling of 339434810 in words is "three hundred thirty-nine million, four hundred thirty-four thousand, eight hundred ten".

Divisors: 1 2 5 10 11 13 19 22 26 31 38 55 62 65 95 110 130 143 155 169 190 209 247 286 310 338 341 403 418 494 589 682 715 806 845 961 1045 1178 1235 1430 1690 1705 1859 1922 2015 2090 2470 2717 2945 3211 3410 3718 4030 4433 4805 5239 5434 5890 6422 6479 7657 8866 9295 9610 10478 10571 12493 12958 13585 15314 16055 18259 18590 21142 22165 24986 26195 27170 32110 32395 35321 36518 38285 44330 52390 52855 57629 62465 64790 70642 76570 84227 91295 99541 105710 115258 124930 137423 162409 168454 176605 182590 199082 200849 237367 274846 288145 324818 353210 401698 421135 474734 497705 576290 687115 812045 842270 995410 1004245 1094951 1186835 1374230 1624090 1786499 2008490 2189902 2373670 2611037 3085771 3572998 5222074 5474755 6171542 8932495 10949510 13055185 15428855 17864990 26110370 30857710 33943481 67886962 169717405 339434810