Search a number
-
+
304361145 = 365117591
BaseRepresentation
bin10010001001000…
…010111010111001
3210012201011000000
4102021002322321
51110404024040
650111303213
710354012164
oct2211027271
9705634000
10304361145
11146893040
1285b1ab09
134b096b6a
142c5caadb
151bac1130
hex12242eb9

304361145 has 56 divisors (see below), whose sum is σ = 597460032. Its totient is φ = 147549600.

The previous prime is 304361137. The next prime is 304361173. The reversal of 304361145 is 541163403.

304361145 is a `hidden beast` number, since 3 + 0 + 4 + 3 + 611 + 45 = 666.

It is not a de Polignac number, because 304361145 - 23 = 304361137 is a prime.

It is a super-2 number, since 2×3043611452 = 185271413171422050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 55 ways as a sum of consecutive naturals, for example, 36300 + ... + 43890.

Almost surely, 2304361145 is an apocalyptic number.

It is an amenable number.

304361145 is a deficient number, since it is larger than the sum of its proper divisors (293098887).

304361145 is an equidigital number, since it uses as much as digits as its factorization.

304361145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 304361145 is about 17445.9492433057. The cubic root of 304361145 is about 672.6612392824.

The spelling of 304361145 in words is "three hundred four million, three hundred sixty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 729 891 1215 1485 2673 3645 4455 7591 8019 13365 22773 37955 40095 68319 83501 113865 204957 250503 341595 417505 614871 751509 1024785 1252515 1844613 2254527 3074355 3757545 5533839 6763581 9223065 11272635 20290743 27669195 33817905 60872229 101453715 304361145