Search a number
-
+
315146412 = 223272694649
BaseRepresentation
bin10010110010001…
…100000010101100
3210222000002121100
4102302030002230
51121134141122
651134403100
710544462130
oct2262140254
9728002540
10315146412
1115198a189
1289660490
13503a1c89
142dbd73c0
151ca01aac
hex12c8c0ac

315146412 has 72 divisors (see below), whose sum is σ = 914004000. Its totient is φ = 89687808.

The previous prime is 315146411. The next prime is 315146413. The reversal of 315146412 is 214641513.

It is a happy number.

315146412 is a `hidden beast` number, since 3 + 1 + 5 + 14 + 641 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (315146411) and next prime (315146413).

It is not an unprimeable number, because it can be changed into a prime (315146411) by changing a digit.

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, 65464 + ... + 70112.

It is an arithmetic number, because the mean of its divisors is an integer number (12694500).

Almost surely, 2315146412 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 315146412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457002000).

315146412 is an abundant number, since it is smaller than the sum of its proper divisors (598857588).

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

315146412 is a wasteful number, since it uses less digits than its factorization.

315146412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4930 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 315146412 is about 17752.3635609459. The cubic root of 315146412 is about 680.5146133340.

Adding to 315146412 its reverse (214641513), we get a palindrome (529787925).

The spelling of 315146412 in words is "three hundred fifteen million, one hundred forty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 269 538 807 1076 1614 1883 2421 3228 3766 4649 4842 5649 7532 9298 9684 11298 13947 16947 18596 22596 27894 32543 33894 41841 55788 65086 67788 83682 97629 130172 167364 195258 292887 390516 585774 1171548 1250581 2501162 3751743 5002324 7503486 8754067 11255229 15006972 17508134 22510458 26262201 35016268 45020916 52524402 78786603 105048804 157573206 315146412