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34480032 = 253359167
BaseRepresentation
bin1000001110000…
…1111110100000
32101212202201020
42003201332200
532311330112
63231005440
7566034606
oct203417640
971782636
1034480032
11185103a4
12b669880
1371b31b2
144817876
15306148c
hex20e1fa0

34480032 has 24 divisors (see below), whose sum is σ = 90510336. Its totient is φ = 11493312.

The previous prime is 34480027. The next prime is 34480049. The reversal of 34480032 is 23008443.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34479984 and 34480011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179488 + ... + 179679.

It is an arithmetic number, because the mean of its divisors is an integer number (3771264).

Almost surely, 234480032 is an apocalyptic number.

34480032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34480032 is an abundant number, since it is smaller than the sum of its proper divisors (56030304).

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

34480032 is a wasteful number, since it uses less digits than its factorization.

34480032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359180 (or 359172 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34480032 is about 5871.9700271715. The cubic root of 34480032 is about 325.4786855352.

Adding to 34480032 its reverse (23008443), we get a palindrome (57488475).

The spelling of 34480032 in words is "thirty-four million, four hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 359167 718334 1077501 1436668 2155002 2873336 4310004 5746672 8620008 11493344 17240016 34480032