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104346 = 232111731
BaseRepresentation
bin11001011110011010
312022010200
4121132122
511314341
62123030
7613134
oct313632
9168120
10104346
1171440
1250476
1338658
142a054
1520db6
hex1979a

104346 has 48 divisors (see below), whose sum is σ = 269568. Its totient is φ = 28800.

The previous prime is 104327. The next prime is 104347. The reversal of 104346 is 643401.

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

It is not an unprimeable number, because it can be changed into a prime (104347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3351 + ... + 3381.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

2104346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784).

104346 is an abundant number, since it is smaller than the sum of its proper divisors (165222).

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

104346 is a wasteful number, since it uses less digits than its factorization.

104346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 64 counting only the distinct ones).

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

The square root of 104346 is about 323.0263147175. The cubic root of 104346 is about 47.0787874241.

Adding to 104346 its reverse (643401), we get a palindrome (747747).

It can be divided in two parts, 10434 and 6, that added together give a triangular number (10440 = T144).

The spelling of 104346 in words is "one hundred four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 31 33 34 51 62 66 93 99 102 153 186 187 198 279 306 341 374 527 558 561 682 1023 1054 1122 1581 1683 2046 3069 3162 3366 4743 5797 6138 9486 11594 17391 34782 52173 104346