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1264006321 = 17379720717
BaseRepresentation
bin100101101010111…
…0011010010110001
310021002110011200221
41023111303102301
510042041200241
6325232013041
743215606424
oct11325632261
93232404627
101264006321
11599553726
122b3391181
13171b44b46
14bdc319bb
1575e805d1
hex4b5734b1

1264006321 has 16 divisors (see below), whose sum is σ = 1388768976. Its totient is φ = 1145511936.

The previous prime is 1264006313. The next prime is 1264006339. The reversal of 1264006321 is 1236004621.

It can be written as a sum of positive squares in 8 ways, for example, as 1199025 + 1262807296 = 1095^2 + 35536^2 .

It is a cyclic number.

It is not a de Polignac number, because 1264006321 - 23 = 1264006313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1264006351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50655 + ... + 71371.

It is an arithmetic number, because the mean of its divisors is an integer number (86798061).

Almost surely, 21264006321 is an apocalyptic number.

It is an amenable number.

1264006321 is a deficient number, since it is larger than the sum of its proper divisors (124762655).

1264006321 is a wasteful number, since it uses less digits than its factorization.

1264006321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20868.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1264006321 is about 35552.8665651590. The cubic root of 1264006321 is about 1081.2258374722.

The spelling of 1264006321 in words is "one billion, two hundred sixty-four million, six thousand, three hundred twenty-one".

Divisors: 1 17 37 97 629 1649 3589 20717 61013 352189 766529 2009549 13030993 34162333 74353313 1264006321