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304013142 = 2331761289
BaseRepresentation
bin10010000111101…
…101111101010110
3210012001110122000
4102013231331112
51110311410032
650100020130
710351032456
oct2207557526
9705043560
10304013142
11146675634
1285991646
134aca4644
142c539d66
151ba52e7c
hex121edf56

304013142 has 96 divisors (see below), whose sum is σ = 735415200. Its totient is φ = 92759040.

The previous prime is 304013117. The next prime is 304013153. The reversal of 304013142 is 241310403.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3415834 + ... + 3415922.

It is an arithmetic number, because the mean of its divisors is an integer number (7660575).

Almost surely, 2304013142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304013142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367707600).

304013142 is an abundant number, since it is smaller than the sum of its proper divisors (431402058).

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

304013142 is a wasteful number, since it uses less digits than its factorization.

304013142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 304013142 is about 17435.9726427865. The cubic root of 304013142 is about 672.4047704923.

Adding to 304013142 its reverse (241310403), we get a palindrome (545323545).

The spelling of 304013142 in words is "three hundred four million, thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 89 102 122 153 178 183 267 306 366 459 534 549 801 918 1037 1098 1513 1602 1647 2074 2403 3026 3111 3294 3721 4539 4806 5429 6222 7442 9078 9333 10858 11163 13617 16287 18666 22326 27234 27999 32574 33489 40851 48861 55998 63257 66978 81702 92293 97722 100467 126514 146583 184586 189771 200934 276879 293166 331169 379542 553758 569313 662338 830637 993507 1138626 1661274 1707939 1987014 2491911 2980521 3415878 4983822 5629873 5961042 8941563 11259746 16889619 17883126 33779238 50668857 101337714 152006571 304013142