Search a number
-
+
340792180 = 2251011131493
BaseRepresentation
bin10100010100000…
…001001101110100
3212202021000222121
4110110001031310
51144220322210
653452205324
711305454131
oct2424011564
9782230877
10340792180
11165406233
1296169844
13557b10a1
1433391588
151edba6da
hex14501374

340792180 has 48 divisors (see below), whose sum is σ = 729633744. Its totient is φ = 133683200.

The previous prime is 340792171. The next prime is 340792187. The reversal of 340792180 is 81297043.

It can be written as a sum of positive squares in 8 ways, for example, as 3849444 + 336942736 = 1962^2 + 18356^2 .

It is a super-2 number, since 2×3407921802 = 232278619898304800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340792187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227514 + ... + 229006.

It is an arithmetic number, because the mean of its divisors is an integer number (15200703).

Almost surely, 2340792180 is an apocalyptic number.

It is an amenable number.

340792180 is an abundant number, since it is smaller than the sum of its proper divisors (388841564).

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

340792180 is a wasteful number, since it uses less digits than its factorization.

340792180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 340792180 is about 18460.5574130360. The cubic root of 340792180 is about 698.4948475467.

The spelling of 340792180 in words is "three hundred forty million, seven hundred ninety-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 101 113 202 226 404 452 505 565 1010 1130 1493 2020 2260 2986 5972 7465 11413 14930 22826 29860 45652 57065 114130 150793 168709 228260 301586 337418 603172 674836 753965 843545 1507930 1687090 3015860 3374180 17039609 34079218 68158436 85198045 170396090 340792180