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1333313332 = 2213217181641
BaseRepresentation
bin100111101111000…
…1011111100110100
310102220212100001021
41033132023330310
510212312011312
6340145310524
745016655611
oct11736137464
93386770037
101333313332
1162469104a
12312635444
13183300100
14c9113508
157c0c0c07
hex4f78bf34

1333313332 has 72 divisors (see below), whose sum is σ = 2694188952. Its totient is φ = 575078400.

The previous prime is 1333313327. The next prime is 1333313339. The reversal of 1333313332 is 2333133331.

It can be written as a sum of positive squares in 12 ways, for example, as 608411556 + 724901776 = 24666^2 + 26924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1333313297 and 1333313306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333313339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2079732 + ... + 2080372.

It is an arithmetic number, because the mean of its divisors is an integer number (37419291).

Almost surely, 21333313332 is an apocalyptic number.

It is an amenable number.

1333313332 is an abundant number, since it is smaller than the sum of its proper divisors (1360875620).

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

1333313332 is a wasteful number, since it uses less digits than its factorization.

1333313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 854 counting only the distinct ones).

The product of its digits is 4374, while the sum is 25.

The square root of 1333313332 is about 36514.5632864478. The cubic root of 1333313332 is about 1100.6369126917.

Adding to 1333313332 its reverse (2333133331), we get a palindrome (3666446663).

It can be divided in two parts, 1 and 333313332, that added together give a palindrome (333313333).

The spelling of 1333313332 in words is "one billion, three hundred thirty-three million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 13 17 26 34 52 68 169 181 221 338 362 442 641 676 724 884 1282 2353 2564 2873 3077 4706 5746 6154 8333 9412 10897 11492 12308 16666 21794 30589 33332 40001 43588 61178 80002 108329 116021 122356 141661 160004 216658 232042 283322 433316 464084 520013 566644 1040026 1508273 1841593 1972357 2080052 3016546 3683186 3944714 6033092 7366372 7889428 19607549 25640641 39215098 51281282 78430196 102562564 333328333 666656666 1333313332