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13354146 = 2341317373
BaseRepresentation
bin110010111100…
…010010100010
3221010110110000
4302330102202
511404313041
61154120430
7221336241
oct62742242
927113400
1013354146
1175a1193
124580116
1329c7480
141ab8958
15128bbb6
hexcbc4a2

13354146 has 80 divisors (see below), whose sum is σ = 34212024. Its totient is φ = 3856896.

The previous prime is 13354139. The next prime is 13354171. The reversal of 13354146 is 64145331.

It can be written as a sum of positive squares in 4 ways, for example, as 11148921 + 2205225 = 3339^2 + 1485^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 39 ways as a sum of consecutive naturals, for example, 35616 + ... + 35988.

Almost surely, 213354146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13354146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106012).

13354146 is an abundant number, since it is smaller than the sum of its proper divisors (20857878).

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

13354146 is a wasteful number, since it uses less digits than its factorization.

13354146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13354146 is about 3654.3324971874. The cubic root of 13354146 is about 237.2495368824.

Adding to 13354146 its reverse (64145331), we get a palindrome (77499477).

The spelling of 13354146 in words is "thirteen million, three hundred fifty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 306 351 373 442 459 663 702 746 918 1053 1119 1326 1377 1989 2106 2238 2754 3357 3978 4849 5967 6341 6714 9698 10071 11934 12682 14547 17901 19023 20142 29094 30213 35802 38046 43641 57069 60426 82433 87282 114138 130923 164866 171207 247299 261846 342414 392769 494598 513621 741897 785538 1027242 1483794 2225691 4451382 6677073 13354146