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1134830641 = 72613131213
BaseRepresentation
bin100001110100100…
…0010010000110001
32221002101100222111
41003221002100301
54311004040031
6304335205321
740056621100
oct10351022061
92832340874
101134830641
1153264506a
12278076841
13151157629
14aaa08037
15699661b1
hex43a42431

1134830641 has 24 divisors (see below), whose sum is σ = 1347146664. Its totient is φ = 952922880.

The previous prime is 1134830633. The next prime is 1134830659. The reversal of 1134830641 is 1460384311.

It can be written as a sum of positive squares in 4 ways, for example, as 313148416 + 821682225 = 17696^2 + 28665^2 .

It is not a de Polignac number, because 1134830641 - 23 = 1134830633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1134830141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934951 + ... + 936163.

It is an arithmetic number, because the mean of its divisors is an integer number (56131111).

Almost surely, 21134830641 is an apocalyptic number.

It is an amenable number.

1134830641 is a deficient number, since it is larger than the sum of its proper divisors (212316023).

1134830641 is a wasteful number, since it uses less digits than its factorization.

1134830641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1134830641 is about 33687.2474535988. The cubic root of 1134830641 is about 1043.0625459842.

The spelling of 1134830641 in words is "one billion, one hundred thirty-four million, eight hundred thirty thousand, six hundred forty-one".

Divisors: 1 7 49 61 313 427 1213 2191 2989 8491 15337 19093 59437 73993 133651 379669 517951 935557 2657683 3625657 18603781 23159809 162118663 1134830641