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BaseRepresentation
bin1000011010001000
31202020120
420122020
52100230
6423240
7202260
oct103210
952216
1034440
112396a
1217b20
13128a3
14c7a0
15a310
hex8688

34440 has 64 divisors (see below), whose sum is σ = 120960. Its totient is φ = 7680.

The previous prime is 34439. The next prime is 34457. The reversal of 34440 is 4443.

It is a super-2 number, since 2×344402 = 2372227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34440.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 820 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

234440 is an apocalyptic number.

34440 is a gapful number since it is divisible by the number (30) 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 34440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

34440 is an abundant number, since it is smaller than the sum of its proper divisors (86520).

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

34440 is a wasteful number, since it uses less digits than its factorization.

34440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34440 is about 185.5801713546. The cubic root of 34440 is about 32.5352674356.

Adding to 34440 its reverse (4443), we get a palindrome (38883).

It can be divided in two parts, 34 and 440, that added together give a palindrome (474).

The spelling of 34440 in words is "thirty-four thousand, four hundred forty".