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303134312 = 231397151199
BaseRepresentation
bin10010000100010…
…111011001101000
3210010101211002202
4102010113121220
51110100244222
650025115332
710340412335
oct2204273150
9703354082
10303134312
11146125328
1285628b48
134aa57620
142c38b98c
151b92c892
hex12117668

303134312 has 64 divisors (see below), whose sum is σ = 625632000. Its totient is φ = 136857600.

The previous prime is 303134311. The next prime is 303134323. The reversal of 303134312 is 213431303.

It is a super-2 number, since 2×3031343122 = 183780822223426688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (303134311) 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, 1523189 + ... + 1523387.

It is an arithmetic number, because the mean of its divisors is an integer number (9775500).

Almost surely, 2303134312 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 303134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312816000).

303134312 is an abundant number, since it is smaller than the sum of its proper divisors (322497688).

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

303134312 is a wasteful number, since it uses less digits than its factorization.

303134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 303134312 is about 17410.7527694813. The cubic root of 303134312 is about 671.7562241727.

Adding to 303134312 its reverse (213431303), we get a palindrome (516565615).

The spelling of 303134312 in words is "three hundred three million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 97 104 151 194 199 302 388 398 604 776 796 1208 1261 1592 1963 2522 2587 3926 5044 5174 7852 10088 10348 14647 15704 19303 20696 29294 30049 38606 58588 60098 77212 117176 120196 154424 190411 240392 250939 380822 390637 501878 761644 781274 1003756 1523288 1562548 2007512 2914753 3125096 5829506 11659012 23318024 37891789 75783578 151567156 303134312