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396240012 = 223471743239
BaseRepresentation
bin10111100111100…
…010010010001100
31000121121002010000
4113213202102030
51302414140022
6103152444300
712550661460
oct2747422214
91017532100
10396240012
11193737a93
12b0849690
136412605c
143a8a64a0
1524bbe6ac
hex179e248c

396240012 has 240 divisors, whose sum is σ = 1287982080. Its totient is φ = 103638528.

The previous prime is 396240011. The next prime is 396240017. The reversal of 396240012 is 210042693.

396240012 is a `hidden beast` number, since 39 + 624 + 0 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×3962400122 = 314012294219520288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396240011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1657789 + ... + 1658027.

It is an arithmetic number, because the mean of its divisors is an integer number (5366592).

Almost surely, 2396240012 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 396240012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643991040).

396240012 is an abundant number, since it is smaller than the sum of its proper divisors (891742068).

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

396240012 is a wasteful number, since it uses less digits than its factorization.

396240012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 396240012 is about 19905.7783570500. The cubic root of 396240012 is about 734.4903755881.

The spelling of 396240012 in words is "three hundred ninety-six million, two hundred forty thousand, twelve".