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13434336 = 25347173
BaseRepresentation
bin110011001111…
…110111100000
3221021112110000
4303033313200
511414344321
61155540000
7222122106
oct63176740
927245400
1013434336
117646463
1245ba600
132a24b16
141ad9c76
1512a5826
hexccfde0

13434336 has 120 divisors (see below), whose sum is σ = 40615344. Its totient is φ = 4354560.

The previous prime is 13434331. The next prime is 13434389. The reversal of 13434336 is 63343431.

13434336 is a nontrivial binomial coefficient, being equal to C(5184, 2).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 183996 + ... + 184068.

Almost surely, 213434336 is an apocalyptic number.

13434336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13434336 is the 5183-rd triangular number and also the 2592-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307672).

13434336 is an abundant number, since it is smaller than the sum of its proper divisors (27181008).

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

13434336 is an equidigital number, since it uses as much as digits as its factorization.

13434336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 13434336 is about 3665.2879832286. The cubic root of 13434336 is about 237.7234742371.

Adding to 13434336 its reverse (63343431), we get a palindrome (76777767).

The spelling of 13434336 in words is "thirteen million, four hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 73 81 96 108 142 144 146 162 213 216 219 284 288 292 324 426 432 438 568 584 639 648 657 852 864 876 1136 1168 1278 1296 1314 1704 1752 1917 1971 2272 2336 2556 2592 2628 3408 3504 3834 3942 5112 5183 5256 5751 5913 6816 7008 7668 7884 10224 10366 10512 11502 11826 15336 15549 15768 20448 20732 21024 23004 23652 30672 31098 31536 41464 46008 46647 47304 61344 62196 63072 82928 92016 93294 94608 124392 139941 165856 184032 186588 189216 248784 279882 373176 419823 497568 559764 746352 839646 1119528 1492704 1679292 2239056 3358584 4478112 6717168 13434336