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13405344 = 253311449
BaseRepresentation
bin110011001000…
…110010100000
3221020001200020
4303020302200
511412432334
61155153440
7221641431
oct63106240
927201606
1013405344
1176266a7
1245a5880
132a14874
141acd488
15129be49
hexcc8ca0

13405344 has 48 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 4444160.

The previous prime is 13405309. The next prime is 13405349. The reversal of 13405344 is 44350431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13405349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29632 + ... + 30080.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 213405344 is an apocalyptic number.

It is an amenable number.

13405344 is an abundant number, since it is smaller than the sum of its proper divisors (21975456).

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

13405344 is a wasteful number, since it uses less digits than its factorization.

13405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 13405344 is about 3661.3309055588. The cubic root of 13405344 is about 237.5523445105.

Adding to 13405344 its reverse (44350431), we get a palindrome (57755775).

The spelling of 13405344 in words is "thirteen million, four hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 311 449 622 898 933 1244 1347 1796 1866 2488 2694 3592 3732 4976 5388 7184 7464 9952 10776 14368 14928 21552 29856 43104 139639 279278 418917 558556 837834 1117112 1675668 2234224 3351336 4468448 6702672 13405344