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345330120 = 23354915861
BaseRepresentation
bin10100100101010…
…101000111001000
3220001210120212110
4110211111013020
51201401030440
654133342320
711362154232
oct2445250710
9801716773
10345330120
11167a256a3
12977979a0
135670c765
1433c13252
15204b5080
hex149551c8

345330120 has 64 divisors (see below), whose sum is σ = 1038277440. Its totient is φ = 91884800.

The previous prime is 345330109. The next prime is 345330121. The reversal of 345330120 is 21033543.

345330120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (345330121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55990 + ... + 61850.

It is an arithmetic number, because the mean of its divisors is an integer number (16223085).

Almost surely, 2345330120 is an apocalyptic number.

345330120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345330120 is an abundant number, since it is smaller than the sum of its proper divisors (692947320).

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

345330120 is a wasteful number, since it uses less digits than its factorization.

345330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 345330120 is about 18583.0600278856. The cubic root of 345330120 is about 701.5815397154.

Adding to 345330120 its reverse (21033543), we get a palindrome (366363663).

The spelling of 345330120 in words is "three hundred forty-five million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 491 982 1473 1964 2455 2946 3928 4910 5861 5892 7365 9820 11722 11784 14730 17583 19640 23444 29305 29460 35166 46888 58610 58920 70332 87915 117220 140664 175830 234440 351660 703320 2877751 5755502 8633253 11511004 14388755 17266506 23022008 28777510 34533012 43166265 57555020 69066024 86332530 115110040 172665060 345330120