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8345340 = 2232571653
BaseRepresentation
bin11111110101011011111100
3120200222122200
4133311123330
54114022330
6454511500
7130635303
oct37653374
916628580
108345340
11478aa83
122965590
131962693
14117343a
15aeca60
hex7f56fc

8345340 has 72 divisors (see below), whose sum is σ = 25710048. Its totient is φ = 2190720.

The previous prime is 8345339. The next prime is 8345353. The reversal of 8345340 is 435438.

It is a happy number.

8345340 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12454 + ... + 13106.

It is an arithmetic number, because the mean of its divisors is an integer number (357084).

Almost surely, 28345340 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 8345340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12855024).

8345340 is an abundant number, since it is smaller than the sum of its proper divisors (17364708).

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

8345340 is a wasteful number, since it uses less digits than its factorization.

8345340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 8345340 is about 2888.8302130793. The cubic root of 8345340 is about 202.8373890892.

The spelling of 8345340 in words is "eight million, three hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 653 710 852 1065 1278 1306 1420 1959 2130 2556 2612 3195 3265 3918 4260 5877 6390 6530 7836 9795 11754 12780 13060 19590 23508 29385 39180 46363 58770 92726 117540 139089 185452 231815 278178 417267 463630 556356 695445 834534 927260 1390890 1669068 2086335 2781780 4172670 8345340