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35412 = 22313227
BaseRepresentation
bin1000101001010100
31210120120
420221110
52113122
6431540
7205146
oct105124
953516
1035412
1124673
12185b0
1313170
14cc96
15a75c
hex8a54

35412 has 24 divisors (see below), whose sum is σ = 89376. Its totient is φ = 10848.

The previous prime is 35407. The next prime is 35419. The reversal of 35412 is 21453.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 35391 and 35400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35419) by changing a digit.

35412 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (3724).

235412 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 35412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44688).

35412 is an abundant number, since it is smaller than the sum of its proper divisors (53964).

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

35412 is a wasteful number, since it uses less digits than its factorization.

35412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 35412 is about 188.1807641604. The cubic root of 35412 is about 32.8385131586.

Adding to 35412 its reverse (21453), we get a palindrome (56865).

The spelling of 35412 in words is "thirty-five thousand, four hundred twelve".