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1314304024 = 2311193125357
BaseRepresentation
bin100111001010110…
…1011000000011000
310101121002120011211
41032111223000120
510142430212044
6334230032504
744366254105
oct11625530030
93347076154
101314304024
11614988080
123081a8734
1317c3a58b7
14c67a5aac
157a5b8634
hex4e56b018

1314304024 has 64 divisors (see below), whose sum is σ = 2921241600. Its totient is φ = 547689600.

The previous prime is 1314304007. The next prime is 1314304027. The reversal of 1314304024 is 4204034131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1314303986 and 1314304004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314304027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39154 + ... + 64510.

It is an arithmetic number, because the mean of its divisors is an integer number (45644400).

Almost surely, 21314304024 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 1314304024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460620800).

1314304024 is an abundant number, since it is smaller than the sum of its proper divisors (1606937576).

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

1314304024 is a wasteful number, since it uses less digits than its factorization.

1314304024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25424 (or 25420 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1314304024 is about 36253.3312124555. The cubic root of 1314304024 is about 1095.3811907211.

Adding to 1314304024 its reverse (4204034131), we get a palindrome (5518338155).

The spelling of 1314304024 in words is "one billion, three hundred fourteen million, three hundred four thousand, twenty-four".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 124 152 209 248 341 418 589 682 836 1178 1364 1672 2356 2728 4712 6479 12958 25357 25916 50714 51832 101428 202856 278927 481783 557854 786067 963566 1115708 1572134 1927132 2231416 3144268 3854264 5299613 6288536 8646737 10599226 14935273 17293474 21198452 29870546 34586948 42396904 59741092 69173896 119482184 164288003 328576006 657152012 1314304024