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3349093280 = 255132211587
BaseRepresentation
bin1100011110011111…
…0001101110100000
322122101220120021212
43013213301232200
523324331441110
61312154405252
7145664552231
oct30747615640
98571816255
103349093280
111469526395
12795730828
13414b10b00
1423ab19088
1514904de05
hexc79f1ba0

3349093280 has 144 divisors (see below), whose sum is σ = 8622954144. Its totient is φ = 1228631040.

The previous prime is 3349093261. The next prime is 3349093301. The reversal of 3349093280 is 823909433.

It is a super-2 number, since 2×33490932802 = 22432851596282316800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5705147 + ... + 5705733.

It is an arithmetic number, because the mean of its divisors is an integer number (59881626).

Almost surely, 23349093280 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 3349093280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311477072).

3349093280 is an abundant number, since it is smaller than the sum of its proper divisors (5273860864).

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

3349093280 is a wasteful number, since it uses less digits than its factorization.

3349093280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The square root of 3349093280 is about 57871.3511160747. The cubic root of 3349093280 is about 1496.1521049838.

The spelling of 3349093280 in words is "three billion, three hundred forty-nine million, ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 211 260 338 416 422 520 587 676 844 845 1040 1055 1174 1352 1688 1690 2080 2110 2348 2704 2743 2935 3376 3380 4220 4696 5408 5486 5870 6752 6760 7631 8440 9392 10972 11740 13520 13715 15262 16880 18784 21944 23480 27040 27430 30524 33760 35659 38155 43888 46960 54860 61048 71318 76310 87776 93920 99203 109720 122096 123857 142636 152620 178295 198406 219440 244192 247714 285272 305240 356590 396812 438880 495428 496015 570544 610480 619285 713180 793624 990856 992030 1141088 1220960 1238570 1426360 1587248 1610141 1981712 1984060 2477140 2852720 3174496 3220282 3963424 3968120 4954280 5705440 6440564 7936240 8050705 9908560 12881128 15872480 16101410 19817120 20931833 25762256 32202820 41863666 51524512 64405640 83727332 104659165 128811280 167454664 209318330 257622560 334909328 418636660 669818656 837273320 1674546640 3349093280