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1334481152 = 2847197563
BaseRepresentation
bin100111110001010…
…1001000100000000
310110000001122222212
41033202221010000
510213111344102
6340230321252
745032621414
oct11742510400
93400048885
101334481152
11625309494
12312ab9228
1318361b824
14c9338d44
157c251c52
hex4f8a9100

1334481152 has 72 divisors (see below), whose sum is σ = 2739090816. Its totient is φ = 648574976.

The previous prime is 1334481151. The next prime is 1334481157. The reversal of 1334481152 is 2511844331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1334481151) 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 7 ways as a sum of consecutive naturals, for example, 2370023 + ... + 2370585.

It is an arithmetic number, because the mean of its divisors is an integer number (38042928).

Almost surely, 21334481152 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 1334481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369545408).

1334481152 is an abundant number, since it is smaller than the sum of its proper divisors (1404609664).

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

1334481152 is an equidigital number, since it uses as much as digits as its factorization.

1334481152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 1334481152 is about 36530.5509402746. The cubic root of 1334481152 is about 1100.9581601890.

The spelling of 1334481152 in words is "one billion, three hundred thirty-four million, four hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 197 256 376 394 563 752 788 1126 1504 1576 2252 3008 3152 4504 6016 6304 9008 9259 12032 12608 18016 18518 25216 26461 36032 37036 50432 52922 72064 74072 105844 110911 144128 148144 211688 221822 296288 423376 443644 592576 846752 887288 1185152 1693504 1774576 2370304 3387008 3549152 5212817 6774016 7098304 10425634 14196608 20851268 28393216 41702536 83405072 166810144 333620288 667240576 1334481152