Search a number
-
+
345746080 = 2552160913
BaseRepresentation
bin10100100110111…
…010101010100000
3220002120201110101
4110212322222200
51202002333310
654150312144
711365536031
oct2446725240
9802521411
10345746080
1116818a169
1297958654
1356826ba4
1433cc0a88
152054843a
hex149baaa0

345746080 has 24 divisors (see below), whose sum is σ = 816825492. Its totient is φ = 138298368.

The previous prime is 345746057. The next prime is 345746117. The reversal of 345746080 is 80647543.

It can be written as a sum of positive squares in 2 ways, for example, as 338412816 + 7333264 = 18396^2 + 2708^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 1080297 + ... + 1080616.

Almost surely, 2345746080 is an apocalyptic number.

It is an amenable number.

345746080 is an abundant number, since it is smaller than the sum of its proper divisors (471079412).

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

345746080 is a wasteful number, since it uses less digits than its factorization.

345746080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160928 (or 2160920 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 345746080 is about 18594.2485731476. The cubic root of 345746080 is about 701.8631183617.

The spelling of 345746080 in words is "three hundred forty-five million, seven hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2160913 4321826 8643652 10804565 17287304 21609130 34574608 43218260 69149216 86436520 172873040 345746080