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339420840 = 233511475471
BaseRepresentation
bin10100001110110…
…010011010101000
3212122200100212020
4110032302122220
51143342431330
653402544440
711261013063
oct2416623250
9778610766
10339420840
111646599a0
1295808120
1355420b45
14331158da
151ebe9210
hex143b26a8

339420840 has 128 divisors (see below), whose sum is σ = 1134673920. Its totient is φ = 80518400.

The previous prime is 339420839. The next prime is 339420847. The reversal of 339420840 is 48024933.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (339420847) 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 31 ways as a sum of consecutive naturals, for example, 59305 + ... + 64775.

It is an arithmetic number, because the mean of its divisors is an integer number (8864640).

Almost surely, 2339420840 is an apocalyptic number.

339420840 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 339420840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567336960).

339420840 is an abundant number, since it is smaller than the sum of its proper divisors (795253080).

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

339420840 is a wasteful number, since it uses less digits than its factorization.

339420840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 339420840 is about 18423.3775405054. The cubic root of 339420840 is about 697.5566788900.

The spelling of 339420840 in words is "three hundred thirty-nine million, four hundred twenty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5471 5640 6204 7755 10340 10942 12408 15510 16413 20680 21884 27355 31020 32826 43768 54710 60181 62040 65652 82065 109420 120362 131304 164130 180543 218840 240724 257137 300905 328260 361086 481448 514274 601810 656520 722172 771411 902715 1028548 1203620 1285685 1444344 1542822 1805430 2057096 2407240 2571370 2828507 3085644 3610860 3857055 5142740 5657014 6171288 7221720 7714110 8485521 10285480 11314028 14142535 15428220 16971042 22628056 28285070 30856440 33942084 42427605 56570140 67884168 84855210 113140280 169710420 339420840