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35464 = 23111331
BaseRepresentation
bin1000101010001000
31210122111
420222020
52113324
6432104
7205252
oct105210
953574
1035464
1124710
1218634
13131b0
14ccd2
15a794
hex8a88

35464 has 32 divisors (see below), whose sum is σ = 80640. Its totient is φ = 14400.

The previous prime is 35461. The next prime is 35491. The reversal of 35464 is 46453.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1129 + ... + 1159.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

235464 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 35464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

35464 is an abundant number, since it is smaller than the sum of its proper divisors (45176).

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

35464 is a wasteful number, since it uses less digits than its factorization.

35464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 57 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 35464 is about 188.3188785013. The cubic root of 35464 is about 32.8545789700.

The spelling of 35464 in words is "thirty-five thousand, four hundred sixty-four".