Search a number
-
+
364249146 = 231513371193
BaseRepresentation
bin10101101101100…
…000000000111010
3221101101202220010
4111231200000322
51221221433041
6100051042350
712012031602
oct2555400072
9841352803
10364249146
11177677858
12a1ba03b6
135a604b51
1436539c02
1521ea0a16
hex15b6003a

364249146 has 32 divisors (see below), whose sum is σ = 736115328. Its totient is φ = 120153600.

The previous prime is 364249141. The next prime is 364249147. The reversal of 364249146 is 641942463.

364249146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (364249141) 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, 304726 + ... + 305918.

It is an arithmetic number, because the mean of its divisors is an integer number (23003604).

Almost surely, 2364249146 is an apocalyptic number.

364249146 is an abundant number, since it is smaller than the sum of its proper divisors (371866182).

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

364249146 is a wasteful number, since it uses less digits than its factorization.

364249146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686.

The product of its digits is 124416, while the sum is 39.

The square root of 364249146 is about 19085.3123107797. The cubic root of 364249146 is about 714.1665650364.

The spelling of 364249146 in words is "three hundred sixty-four million, two hundred forty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 151 302 337 453 674 906 1011 1193 2022 2386 3579 7158 50887 101774 152661 180143 305322 360286 402041 540429 804082 1080858 1206123 2412246 60708191 121416382 182124573 364249146