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13443768 = 23321353271
BaseRepresentation
bin110011010010…
…001010111000
3221022000101100
4303102022320
511420200033
61200051400
7222161442
oct63221270
927260340
1013443768
117652558
124603b60
132a291c0
141add492
1512a8513
hexcd22b8

13443768 has 96 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 4043520.

The previous prime is 13443743. The next prime is 13443797. The reversal of 13443768 is 86734431.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 49473 + ... + 49743.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 213443768 is an apocalyptic number.

13443768 is a gapful number since it is divisible by the number (18) 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 13443768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

13443768 is an abundant number, since it is smaller than the sum of its proper divisors (26654472).

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

13443768 is a wasteful number, since it uses less digits than its factorization.

13443768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 13443768 is about 3666.5744230821. The cubic root of 13443768 is about 237.7790949808.

The spelling of 13443768 in words is "thirteen million, four hundred forty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 271 312 318 424 468 477 542 636 689 813 936 954 1084 1272 1378 1626 1908 2067 2168 2439 2756 3252 3523 3816 4134 4878 5512 6201 6504 7046 8268 9756 10569 12402 14092 14363 16536 19512 21138 24804 28184 28726 31707 42276 43089 49608 57452 63414 84552 86178 114904 126828 129267 172356 186719 253656 258534 344712 373438 517068 560157 746876 1034136 1120314 1493752 1680471 2240628 3360942 4481256 6721884 13443768