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1340310544 = 24312611429
BaseRepresentation
bin100111111100011…
…1000010000010000
310110102000211102021
41033320320100100
510221104414134
6340555301224
745133310626
oct11770702020
93412024367
101340310544
11628630171
12314a4a814
131848acc81
14ca015516
157ca040b4
hex4fe38410

1340310544 has 60 divisors (see below), whose sum is σ = 2729220780. Its totient is φ = 637459200.

The previous prime is 1340310511. The next prime is 1340310557. The reversal of 1340310544 is 4450130431.

It can be written as a sum of positive squares in 2 ways, for example, as 64963600 + 1275346944 = 8060^2 + 35712^2 .

It is a super-3 number, since 3×13403105443 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 937222 + ... + 938650.

It is an arithmetic number, because the mean of its divisors is an integer number (45487013).

Almost surely, 21340310544 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 1340310544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364610390).

1340310544 is an abundant number, since it is smaller than the sum of its proper divisors (1388910236).

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

1340310544 is a wasteful number, since it uses less digits than its factorization.

1340310544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1340310544 is about 36610.2518975218. The cubic root of 1340310544 is about 1102.5589306961.

Adding to 1340310544 its reverse (4450130431), we get a palindrome (5790440975).

The spelling of 1340310544 in words is "one billion, three hundred forty million, three hundred ten thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 488 496 961 976 1429 1891 1922 2858 3782 3844 5716 7564 7688 11432 15128 15376 22864 30256 44299 58621 87169 88598 117242 174338 177196 234484 348676 354392 468968 697352 708784 937936 1373269 1394704 2702239 2746538 5404478 5493076 10808956 10986152 21617912 21972304 43235824 83769409 167538818 335077636 670155272 1340310544