Search a number
-
+
412322412 = 223151313727
BaseRepresentation
bin11000100100111…
…000101001101100
31001201212011000110
4120210320221230
51321023304122
6104525300020
713134453105
oct3044705154
91051764013
10412322412
111a1821a27
12b6104610
1367567278
143ca913ac
15262e990c
hex18938a6c

412322412 has 48 divisors (see below), whose sum is σ = 972887552. Its totient is φ = 135907200.

The previous prime is 412322387. The next prime is 412322419. The reversal of 412322412 is 214223214.

It is a super-3 number, since 3×4123224123 (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (412322419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566793 + ... + 567519.

Almost surely, 2412322412 is an apocalyptic number.

It is an amenable number.

412322412 is an abundant number, since it is smaller than the sum of its proper divisors (560565140).

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

412322412 is a wasteful number, since it uses less digits than its factorization.

412322412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1196 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 412322412 is about 20305.7236266034. The cubic root of 412322412 is about 744.2959352843.

Adding to 412322412 its reverse (214223214), we get a palindrome (626545626).

The spelling of 412322412 in words is "four hundred twelve million, three hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 151 302 313 453 604 626 727 906 939 1252 1454 1812 1878 2181 2908 3756 4362 8724 47263 94526 109777 141789 189052 219554 227551 283578 329331 439108 455102 567156 658662 682653 910204 1317324 1365306 2730612 34360201 68720402 103080603 137440804 206161206 412322412