Search a number
-
+
1431300312 = 23321317293307
BaseRepresentation
bin101010101001111…
…1110100011011000
310200202020120220200
41111103332203120
510412403102222
6354005422200
750316565131
oct12523764330
93622216820
101431300312
11674a28122
1233b40a960
1319a6ba580
14d813cc88
15859c8eac
hex554fe8d8

1431300312 has 192 divisors, whose sum is σ = 4449725280. Its totient is φ = 411734016.

The previous prime is 1431300263. The next prime is 1431300319. The reversal of 1431300312 is 2130031341.

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 (1431300319) 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 47 ways as a sum of consecutive naturals, for example, 4662063 + ... + 4662369.

Almost surely, 21431300312 is an apocalyptic number.

1431300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224862640).

1431300312 is an abundant number, since it is smaller than the sum of its proper divisors (3018424968).

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

1431300312 is a wasteful number, since it uses less digits than its factorization.

1431300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1431300312 is about 37832.5298123189. The cubic root of 1431300312 is about 1126.9645507796.

Adding to 1431300312 its reverse (2130031341), we get a palindrome (3561331653).

The spelling of 1431300312 in words is "one billion, four hundred thirty-one million, three hundred thousand, three hundred twelve".