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3309320 = 235753223
BaseRepresentation
bin1100100111111100001000
320020010112102
430213330020
51321344240
6154532532
740062110
oct14477410
96203472
103309320
111960383
121137148
138bb3a1
14622040
15455815
hex327f08

3309320 has 64 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1108224.

The previous prime is 3309307. The next prime is 3309347. The reversal of 3309320 is 239033.

3309320 = T195 + T196 + ... + T300.

3309320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3309292 and 3309301.

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 15 ways as a sum of consecutive naturals, for example, 14729 + ... + 14951.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 23309320 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 3309320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3309320 is an abundant number, since it is smaller than the sum of its proper divisors (5399800).

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

3309320 is a wasteful number, since it uses less digits than its factorization.

3309320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 3309320 is about 1819.1536493656. The cubic root of 3309320 is about 149.0205818152.

The spelling of 3309320 in words is "three million, three hundred nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 223 265 280 371 424 446 530 742 892 1060 1115 1484 1561 1784 1855 2120 2230 2968 3122 3710 4460 6244 7420 7805 8920 11819 12488 14840 15610 23638 31220 47276 59095 62440 82733 94552 118190 165466 236380 330932 413665 472760 661864 827330 1654660 3309320