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349240880880 = 24335473440119
BaseRepresentation
bin1010001010100000110…
…00001110111011110000
31020101110012022221201000
411011100120032323300
521210221131142010
6424234500042000
734142341335663
oct5052030167360
91211405287630
10349240880880
11125126410981
1257828093300
1326c19530208
1412c90b096da
1591405a47c0
hex515060eef0

349240880880 has 160 divisors (see below), whose sum is σ = 1228535654400. Its totient is φ = 91149366528.

The previous prime is 349240880869. The next prime is 349240880903. The reversal of 349240880880 is 88088042943.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1618540 + ... + 1821579.

It is an arithmetic number, because the mean of its divisors is an integer number (7678347840).

Almost surely, 2349240880880 is an apocalyptic number.

349240880880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349240880880 is an abundant number, since it is smaller than the sum of its proper divisors (879294773520).

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

349240880880 is a wasteful number, since it uses less digits than its factorization.

349240880880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440188 (or 3440176 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 349240880880 in words is "three hundred forty-nine billion, two hundred forty million, eight hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 216 235 240 270 282 360 376 423 432 470 540 564 705 720 752 846 940 1080 1128 1269 1410 1692 1880 2115 2160 2256 2538 2820 3384 3760 4230 5076 5640 6345 6768 8460 10152 11280 12690 16920 20304 25380 33840 50760 101520 3440119 6880238 10320357 13760476 17200595 20640714 27520952 30961071 34401190 41281428 51601785 55041904 61922142 68802380 82562856 92883213 103203570 123844284 137604760 154805355 161685593 165125712 185766426 206407140 247688568 275209520 309610710 323371186 371532852 412814280 464416065 485056779 495377136 619221420 646742372 743065704 808427965 825628560 928832130 970113558 1238442840 1293484744 1455170337 1486131408 1616855930 1857664260 1940227116 2425283895 2476885680 2586969488 2910340674 3233711860 3715328520 3880454232 4365511011 4850567790 5820681348 6467423720 7275851685 7430657040 7760908464 8731022022 9701135580 11641362696 12934847440 14551703370 17462044044 19402271160 21827555055 23282725392 29103406740 34924088088 38804542320 43655110110 58206813480 69848176176 87310220220 116413626960 174620440440 349240880880