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400143312 = 24329412953
BaseRepresentation
bin10111110110011…
…011001111010000
31000212221101102200
4113312123033100
51304414041222
6103412243200
712626106402
oct2766331720
91025841380
10400143312
11195963658
12b2010500
1364b918ba
143b200b72
15251e0eac
hex17d9b3d0

400143312 has 60 divisors (see below), whose sum is σ = 1121415204. Its totient is φ = 133194240.

The previous prime is 400143311. The next prime is 400143329. The reversal of 400143312 is 213341004.

It can be written as a sum of positive squares in 2 ways, for example, as 289136016 + 111007296 = 17004^2 + 10536^2 .

It is a super-2 number, since 2×4001433122 = 320229340276658688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400143311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 134028 + ... + 136980.

Almost surely, 2400143312 is an apocalyptic number.

It is an amenable number.

400143312 is an abundant number, since it is smaller than the sum of its proper divisors (721271892).

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

400143312 is a wasteful number, since it uses less digits than its factorization.

400143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3899 counting only the distinct ones).

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

The square root of 400143312 is about 20003.5824791461. The cubic root of 400143312 is about 736.8942835417.

Adding to 400143312 its reverse (213341004), we get a palindrome (613484316).

The spelling of 400143312 in words is "four hundred million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 941 1882 2823 2953 3764 5646 5906 7528 8469 8859 11292 11812 15056 16938 17718 22584 23624 26577 33876 35436 45168 47248 53154 67752 70872 106308 135504 141744 212616 425232 2778773 5557546 8336319 11115092 16672638 22230184 25008957 33345276 44460368 50017914 66690552 100035828 133381104 200071656 400143312