Search a number
-
+
315143304 = 23372893011
BaseRepresentation
bin10010110010001…
…011010010001000
3210221222221100020
4102302023102020
51121134041204
651134340440
710544450100
oct2262132210
9727887306
10315143304
11151987913
128965a720
13503a0738
142dbd6200
151ca00bd9
hex12c8b488

315143304 has 96 divisors (see below), whose sum is σ = 927093600. Its totient is φ = 88999680.

The previous prime is 315143299. The next prime is 315143333. The reversal of 315143304 is 403341513.

315143304 = 25122 + 25132 + ... + 25602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103159 + ... + 106169.

It is an arithmetic number, because the mean of its divisors is an integer number (9657225).

Almost surely, 2315143304 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 315143304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463546800).

315143304 is an abundant number, since it is smaller than the sum of its proper divisors (611950296).

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

315143304 is a wasteful number, since it uses less digits than its factorization.

315143304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 315143304 is about 17752.2760230907. The cubic root of 315143304 is about 680.5123762295.

Adding to 315143304 its reverse (403341513), we get a palindrome (718484817).

The spelling of 315143304 in words is "three hundred fifteen million, one hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 89 98 147 168 178 196 267 294 356 392 534 588 623 712 1068 1176 1246 1869 2136 2492 3011 3738 4361 4984 6022 7476 8722 9033 12044 13083 14952 17444 18066 21077 24088 26166 34888 36132 42154 52332 63231 72264 84308 104664 126462 147539 168616 252924 267979 295078 442617 505848 535958 590156 803937 885234 1071916 1180312 1607874 1770468 1875853 2143832 3215748 3540936 3751706 5627559 6431496 7503412 11255118 13130971 15006824 22510236 26261942 39392913 45020472 52523884 78785826 105047768 157571652 315143304