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BaseRepresentation
bin100111000100100…
…0101111011100110
310101100220000202000
41032021011323212
510141104201223
6334031230130
744326241130
oct11611057346
93340800660
101311006438
116130355a5
12307078346
1317b7bc971
14c6188050
157a166543
hex4e245ee6

1311006438 has 128 divisors (see below), whose sum is σ = 3436646400. Its totient is φ = 362703744.

The previous prime is 1311006427. The next prime is 1311006467. The reversal of 1311006438 is 8346001131.

1311006438 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 0 + 643 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1936156 + ... + 1936832.

It is an arithmetic number, because the mean of its divisors is an integer number (26848800).

Almost surely, 21311006438 is an apocalyptic number.

1311006438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311006438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718323200).

1311006438 is an abundant number, since it is smaller than the sum of its proper divisors (2125639962).

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

1311006438 is a wasteful number, since it uses less digits than its factorization.

1311006438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1311006438 is about 36207.8228840122. The cubic root of 1311006438 is about 1094.4643204589.

Adding to 1311006438 its reverse (8346001131), we get a palindrome (9657007569).

The spelling of 1311006438 in words is "one billion, three hundred eleven million, six thousand, four hundred thirty-eight".