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345120030 = 232510137967
BaseRepresentation
bin10100100100100…
…001110100011110
3220001101220200100
4110210201310132
51201322320110
654125041530
711360320563
oct2444416436
9801356610
10345120030
111678a1872
12976b62a6
1356667c48
1433b9a86a
1520472bc0
hex14921d1e

345120030 has 48 divisors (see below), whose sum is σ = 906220224. Its totient is φ = 91118400.

The previous prime is 345120019. The next prime is 345120071. The reversal of 345120030 is 30021543.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 345119985 and 345120012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9894 + ... + 28073.

It is an arithmetic number, because the mean of its divisors is an integer number (18879588).

Almost surely, 2345120030 is an apocalyptic number.

345120030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345120030 is an abundant number, since it is smaller than the sum of its proper divisors (561100194).

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

345120030 is a wasteful number, since it uses less digits than its factorization.

345120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38081 (or 38078 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 345120030 is about 18577.4064390054. The cubic root of 345120030 is about 701.4392361072.

Adding to 345120030 its reverse (30021543), we get a palindrome (375141573).

The spelling of 345120030 in words is "three hundred forty-five million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 37967 75934 113901 189835 227802 341703 379670 569505 683406 1139010 1708515 3417030 3834667 7669334 11504001 19173335 23008002 34512003 38346670 57520005 69024006 115040010 172560015 345120030