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1331324424 = 233419710429
BaseRepresentation
bin100111101011010…
…0110011000001000
310102210010021210000
41033112212120020
510211304340144
6340034523000
744664033213
oct11726463010
93383107700
101331324424
11623552821
12311a36460
13182a84a41
14c8b5677a
157bd2b769
hex4f5a6608

1331324424 has 80 divisors (see below), whose sum is σ = 3748229100. Its totient is φ = 441479808.

The previous prime is 1331324381. The next prime is 1331324443. The reversal of 1331324424 is 4244231331.

1331324424 is a `hidden beast` number, since 1 + 331 + 324 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 824264100 + 507060324 = 28710^2 + 22518^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122442 + ... + 132870.

Almost surely, 21331324424 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 1331324424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874114550).

1331324424 is an abundant number, since it is smaller than the sum of its proper divisors (2416904676).

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

1331324424 is a wasteful number, since it uses less digits than its factorization.

1331324424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10644 (or 10631 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1331324424 is about 36487.3186737529. The cubic root of 1331324424 is about 1100.0893657423.

Adding to 1331324424 its reverse (4244231331), we get a palindrome (5575555755).

The spelling of 1331324424 in words is "one billion, three hundred thirty-one million, three hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 197 216 324 394 591 648 788 1182 1576 1773 2364 3546 4728 5319 7092 10429 10638 14184 15957 20858 21276 31287 31914 41716 42552 62574 63828 83432 93861 125148 127656 187722 250296 281583 375444 563166 750888 844749 1126332 1689498 2054513 2252664 3378996 4109026 6163539 6757992 8218052 12327078 16436104 18490617 24654156 36981234 49308312 55471851 73962468 110943702 147924936 166415553 221887404 332831106 443774808 665662212 1331324424