[go: up one dir, main page]

Search a number
-
+
13342104 = 2333193251
BaseRepresentation
bin110010111001…
…010110011000
3221002211221000
4302321112120
511403421404
61153545000
7221256156
oct62712630
927084830
1013342104
117593136
124575160
1329c1b49
141ab43d6
151288339
hexcb9598

13342104 has 64 divisors (see below), whose sum is σ = 39024000. Its totient is φ = 4212000.

The previous prime is 13342099. The next prime is 13342111. The reversal of 13342104 is 40124331.

13342104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2479 + ... + 5729.

It is an arithmetic number, because the mean of its divisors is an integer number (609750).

Almost surely, 213342104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13342104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512000).

13342104 is an abundant number, since it is smaller than the sum of its proper divisors (25681896).

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

13342104 is a wasteful number, since it uses less digits than its factorization.

13342104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13342104 is about 3652.6844922605. The cubic root of 13342104 is about 237.1782027789.

Adding to 13342104 its reverse (40124331), we get a palindrome (53466435).

The spelling of 13342104 in words is "thirteen million, three hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 3251 4104 6502 9753 13004 19506 26008 29259 39012 58518 61769 78024 87777 117036 123538 175554 185307 234072 247076 351108 370614 494152 555921 702216 741228 1111842 1482456 1667763 2223684 3335526 4447368 6671052 13342104