Search a number
-
+
305213004 = 2232127241277
BaseRepresentation
bin10010001100010…
…010111001001100
3210021022102112100
4102030102321030
51111113304004
650141435100
710364160555
oct2214227114
9707272470
10305213004
11147315058
128626ba90
134b304815
142c76d32c
151bbdd739
hex12312e4c

305213004 has 72 divisors (see below), whose sum is σ = 783630848. Its totient is φ = 100154880.

The previous prime is 305212993. The next prime is 305213009. The reversal of 305213004 is 400312503.

305213004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (305213009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101714 + ... + 1101990.

Almost surely, 2305213004 is an apocalyptic number.

It is an amenable number.

305213004 is an abundant number, since it is smaller than the sum of its proper divisors (478417844).

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

305213004 is a wasteful number, since it uses less digits than its factorization.

305213004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 305213004 is about 17470.3464190038. The cubic root of 305213004 is about 673.2882124020.

Adding to 305213004 its reverse (400312503), we get a palindrome (705525507).

The spelling of 305213004 in words is "three hundred five million, two hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 127 241 254 277 381 482 508 554 723 762 831 964 1108 1143 1446 1524 1662 2169 2286 2493 2892 3324 4338 4572 4986 8676 9972 30607 35179 61214 66757 70358 91821 105537 122428 133514 140716 183642 200271 211074 267028 275463 316611 367284 400542 422148 550926 600813 633222 801084 1101852 1201626 1266444 2403252 8478139 16956278 25434417 33912556 50868834 76303251 101737668 152606502 305213004