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345660 = 22357823
BaseRepresentation
bin1010100011000111100
3122120011020
41110120330
542030120
611224140
72636520
oct1243074
9576136
10345660
11216777
12148050
13c1443
148dd80
156c640
hex5463c

345660 has 48 divisors (see below), whose sum is σ = 1107456. Its totient is φ = 78912.

The previous prime is 345659. The next prime is 345673. The reversal of 345660 is 66543.

345660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 33 + 48 + 62 + 53 + 67 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 345660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (23072).

2345660 is an apocalyptic number.

345660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553728).

345660 is an abundant number, since it is smaller than the sum of its proper divisors (761796).

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

345660 is a wasteful number, since it uses less digits than its factorization.

345660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 345660 is about 587.9285670896. The cubic root of 345660 is about 70.1804866179.

The spelling of 345660 in words is "three hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 823 1646 2469 3292 4115 4938 5761 8230 9876 11522 12345 16460 17283 23044 24690 28805 34566 49380 57610 69132 86415 115220 172830 345660