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29006340 = 22351171619
BaseRepresentation
bin110111010100…
…1101000000100
32000120200012220
41232221220010
524411200330
62513412340
7501356406
oct156515004
960520186
1029006340
1115411990
12986a0b0
13601791c
143bd0b76
15282e710
hex1ba9a04

29006340 has 96 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 6921600.

The previous prime is 29006333. The next prime is 29006353. The reversal of 29006340 is 4360092.

It is a self number, because there is not a number n which added to its sum of digits gives 29006340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46551 + ... + 47169.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 229006340 is an apocalyptic number.

29006340 is a gapful number since it is divisible by the number (20) 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 29006340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

29006340 is an abundant number, since it is smaller than the sum of its proper divisors (60987900).

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

29006340 is a wasteful number, since it uses less digits than its factorization.

29006340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 29006340 is about 5385.7534291870. The cubic root of 29006340 is about 307.2540700047.

The spelling of 29006340 in words is "twenty-nine million, six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 619 660 710 781 852 1065 1238 1420 1562 1857 2130 2343 2476 3095 3124 3714 3905 4260 4686 6190 6809 7428 7810 9285 9372 11715 12380 13618 15620 18570 20427 23430 27236 34045 37140 40854 43949 46860 68090 81708 87898 102135 131847 136180 175796 204270 219745 263694 408540 439490 483439 527388 659235 878980 966878 1318470 1450317 1933756 2417195 2636940 2900634 4834390 5801268 7251585 9668780 14503170 29006340