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13346340 = 2235743739
BaseRepresentation
bin110010111010…
…011000100100
3221010001201220
4302322120210
511404040330
61154020340
7221304420
oct62723044
927101656
1013346340
117596337
1245776b0
1329c3a57
141ab5b80
151289710
hexcba624

13346340 has 96 divisors (see below), whose sum is σ = 43760640. Its totient is φ = 2975616.

The previous prime is 13346323. The next prime is 13346353. The reversal of 13346340 is 4364331.

It is a self number, because there is not a number n which added to its sum of digits gives 13346340.

It is a congruent number.

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, 17691 + ... + 18429.

It is an arithmetic number, because the mean of its divisors is an integer number (455840).

Almost surely, 213346340 is an apocalyptic number.

13346340 is a gapful number since it is divisible by the number (10) 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 13346340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21880320).

13346340 is an abundant number, since it is smaller than the sum of its proper divisors (30414300).

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

13346340 is a wasteful number, since it uses less digits than its factorization.

13346340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 13346340 is about 3653.2642937515. The cubic root of 13346340 is about 237.2033007834.

Subtracting from 13346340 its reverse (4364331), we obtain a square (8982009 = 29972).

The spelling of 13346340 in words is "thirteen million, three hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 739 860 903 1204 1290 1478 1505 1806 2217 2580 2956 3010 3612 3695 4434 4515 5173 6020 7390 8868 9030 10346 11085 14780 15519 18060 20692 22170 25865 31038 31777 44340 51730 62076 63554 77595 95331 103460 127108 155190 158885 190662 222439 310380 317770 381324 444878 476655 635540 667317 889756 953310 1112195 1334634 1906620 2224390 2669268 3336585 4448780 6673170 13346340