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1320223324 = 227431915741
BaseRepresentation
bin100111010110001…
…0000001001011100
310102000020021221011
41032230100021130
510200434121244
6335000545004
744500466410
oct11654201134
93360207834
101320223324
11618260362
1230a182164
13180698c44
14c74a6d40
157ad87434
hex4eb1025c

1320223324 has 48 divisors (see below), whose sum is σ = 2716471296. Its totient is φ = 549662400.

The previous prime is 1320223321. The next prime is 1320223393. The reversal of 1320223324 is 4233220231.

It is a junction number, because it is equal to n+sod(n) for n = 1320223295 and 1320223304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320223321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227094 + ... + 232834.

It is an arithmetic number, because the mean of its divisors is an integer number (56593152).

Almost surely, 21320223324 is an apocalyptic number.

1320223324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320223324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358235648).

1320223324 is an abundant number, since it is smaller than the sum of its proper divisors (1396247972).

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

1320223324 is a wasteful number, since it uses less digits than its factorization.

1320223324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 1320223324 is about 36334.8775145865. The cubic root of 1320223324 is about 1097.0231700758.

Adding to 1320223324 its reverse (4233220231), we get a palindrome (5553443555).

The spelling of 1320223324 in words is "one billion, three hundred twenty million, two hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 43 86 172 191 301 382 602 764 1204 1337 2674 5348 5741 8213 11482 16426 22964 32852 40187 57491 80374 114982 160748 229964 246863 493726 987452 1096531 1728041 2193062 3456082 4386124 6912164 7675717 15351434 30702868 47150833 94301666 188603332 330055831 660111662 1320223324