Search a number
-
+
305001012 = 22317101113131
BaseRepresentation
bin10010001011011…
…111001000110100
3210020220122201210
4102023133020310
51111040013022
650133121420
710362315531
oct2213371064
9706818653
10305001012
1114718a858
1286189270
134b25c194
142c715d88
151bb9aa0c
hex122df234

305001012 has 96 divisors (see below), whose sum is σ = 773587584. Its totient is φ = 93184000.

The previous prime is 305001007. The next prime is 305001023. The reversal of 305001012 is 210100503.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2328187 + ... + 2328317.

It is an arithmetic number, because the mean of its divisors is an integer number (8058204).

Almost surely, 2305001012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386793792).

305001012 is an abundant number, since it is smaller than the sum of its proper divisors (468586572).

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

305001012 is a wasteful number, since it uses less digits than its factorization.

305001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 305001012 is about 17464.2781700247. The cubic root of 305001012 is about 673.1322942166.

Adding to 305001012 its reverse (210100503), we get a palindrome (515101515).

The spelling of 305001012 in words is "three hundred five million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 113 131 202 204 226 262 303 339 393 404 452 524 606 678 786 1212 1356 1572 1717 1921 2227 3434 3842 4454 5151 5763 6681 6868 7684 8908 10302 11413 11526 13231 13362 14803 20604 22826 23052 26462 26724 29606 34239 39693 44409 45652 52924 59212 68478 79386 88818 136956 158772 177636 194021 224927 251651 388042 449854 503302 582063 674781 754953 776084 899708 1006604 1164126 1349562 1495103 1509906 2328252 2699124 2990206 3019812 4485309 5980412 8970618 17941236 25416751 50833502 76250253 101667004 152500506 305001012