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13344940 = 2257199479
BaseRepresentation
bin110010111010…
…000010101100
3221002222211001
4302322002230
511404014230
61154010044
7221300350
oct62720254
927088731
1013344940
117595284
124576924
1329c321b
141ab5460
1512890ca
hexcba0ac

13344940 has 48 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 4542912.

The previous prime is 13344931. The next prime is 13344943. The reversal of 13344940 is 4944331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13344899 and 13344908.

It is not an unprimeable number, because it can be changed into a prime (13344943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27621 + ... + 28099.

It is an arithmetic number, because the mean of its divisors is an integer number (672000).

Almost surely, 213344940 is an apocalyptic number.

13344940 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 13344940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

13344940 is an abundant number, since it is smaller than the sum of its proper divisors (18911060).

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

13344940 is a wasteful number, since it uses less digits than its factorization.

13344940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 13344940 is about 3653.0726792660. The cubic root of 13344940 is about 237.1950064687.

The spelling of 13344940 in words is "thirteen million, three hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 479 796 958 995 1393 1916 1990 2395 2786 3353 3980 4790 5572 6706 6965 9580 13412 13930 16765 27860 33530 67060 95321 190642 381284 476605 667247 953210 1334494 1906420 2668988 3336235 6672470 13344940