Search a number
-
+
1314376 = 2373479
BaseRepresentation
bin101000000111001001000
32110202222121
411000321020
5314030001
644101024
714113000
oct5007110
92422877
101314376
11818568
12534774
1337034b
14263000
151ae6a1
hex140e48

1314376 has 32 divisors (see below), whose sum is σ = 2880000. Its totient is φ = 562128.

The previous prime is 1314371. The next prime is 1314377. The reversal of 1314376 is 6734131.

It is a self number, because there is not a number n which added to its sum of digits gives 1314376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2505 + ... + 2983.

It is an arithmetic number, because the mean of its divisors is an integer number (90000).

21314376 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 1314376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440000).

1314376 is an abundant number, since it is smaller than the sum of its proper divisors (1565624).

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

1314376 is an equidigital number, since it uses as much as digits as its factorization.

1314376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 488 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 1314376 is about 1146.4623849041. The cubic root of 1314376 is about 109.5401186023.

The spelling of 1314376 in words is "one million, three hundred fourteen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 479 686 958 1372 1916 2744 3353 3832 6706 13412 23471 26824 46942 93884 164297 187768 328594 657188 1314376