Search a number
-
+
345193320 = 23352876611
BaseRepresentation
bin10100100100110…
…011101101101000
3220001112122012210
4110210303231220
51201332141240
654130405120
711361044343
oct2444635550
9801478183
10345193320
1116794193a
12977307a0
1356692404
1433bb945a
1520489780
hex14933b68

345193320 has 32 divisors (see below), whose sum is σ = 1035580320. Its totient is φ = 92051520.

The previous prime is 345193319. The next prime is 345193367. The reversal of 345193320 is 23391543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1438186 + ... + 1438425.

It is an arithmetic number, because the mean of its divisors is an integer number (32361885).

Almost surely, 2345193320 is an apocalyptic number.

345193320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345193320 is an abundant number, since it is smaller than the sum of its proper divisors (690387000).

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

345193320 is a wasteful number, since it uses less digits than its factorization.

345193320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876625 (or 2876621 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 345193320 is about 18579.3788916637. The cubic root of 345193320 is about 701.4888853485.

The spelling of 345193320 in words is "three hundred forty-five million, one hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2876611 5753222 8629833 11506444 14383055 17259666 23012888 28766110 34519332 43149165 57532220 69038664 86298330 115064440 172596660 345193320