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3329120 = 25520807
BaseRepresentation
bin1100101100110001100000
320021010200202
430230301200
51323012440
6155204332
740203614
oct14546140
96233622
103329120
111974243
1211466a8
138c73c2
14629344
1545b615
hex32cc60

3329120 has 24 divisors (see below), whose sum is σ = 7865424. Its totient is φ = 1331584.

The previous prime is 3329101. The next prime is 3329129. The reversal of 3329120 is 219233.

3329120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33291202 = 22166079948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3329092 and 3329101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10244 + ... + 10563.

It is an arithmetic number, because the mean of its divisors is an integer number (327726).

Almost surely, 23329120 is an apocalyptic number.

It is an amenable number.

3329120 is an abundant number, since it is smaller than the sum of its proper divisors (4536304).

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

3329120 is a wasteful number, since it uses less digits than its factorization.

3329120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20822 (or 20814 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 3329120 is about 1824.5876246429. The cubic root of 3329120 is about 149.3171928417.

The spelling of 3329120 in words is "three million, three hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 20807 41614 83228 104035 166456 208070 332912 416140 665824 832280 1664560 3329120