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34321120 = 255214507
BaseRepresentation
bin1000001011101…
…1001011100000
32101120200201121
42002323023200
532241233440
63223342024
7564503401
oct202731340
971520647
1034321120
1118411a69
12b5b1914
137158a72
1447b59a8
15302e34a
hex20bb2e0

34321120 has 24 divisors (see below), whose sum is σ = 81084024. Its totient is φ = 13728384.

The previous prime is 34321109. The next prime is 34321121. The reversal of 34321120 is 2112343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 34321094 and 34321103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34321121) by changing a digit.

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, 107094 + ... + 107413.

It is an arithmetic number, because the mean of its divisors is an integer number (3378501).

Almost surely, 234321120 is an apocalyptic number.

It is an amenable number.

34321120 is an abundant number, since it is smaller than the sum of its proper divisors (46762904).

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

34321120 is a wasteful number, since it uses less digits than its factorization.

34321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214522 (or 214514 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34321120 is about 5858.4229959947. The cubic root of 34321120 is about 324.9778919873.

Adding to 34321120 its reverse (2112343), we get a palindrome (36433463).

The spelling of 34321120 in words is "thirty-four million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 214507 429014 858028 1072535 1716056 2145070 3432112 4290140 6864224 8580280 17160560 34321120