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1320444312 = 2331110945887
BaseRepresentation
bin100111010110100…
…0110000110011000
310102000122112001220
41032231012012120
510201013204222
6335005412040
744502406605
oct11655060630
93360575056
101320444312
116183a13a0
1230a26a020
131807456c5
14c75236ac
157adccb5c
hex4eb46198

1320444312 has 64 divisors (see below), whose sum is σ = 3634329600. Its totient is φ = 396455040.

The previous prime is 1320444299. The next prime is 1320444313. The reversal of 1320444312 is 2134440231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320444313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5833 + ... + 51719.

It is an arithmetic number, because the mean of its divisors is an integer number (56786400).

Almost surely, 21320444312 is an apocalyptic number.

1320444312 is a gapful number since it is divisible by the number (12) 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 1320444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817164800).

1320444312 is an abundant number, since it is smaller than the sum of its proper divisors (2313885288).

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

1320444312 is a wasteful number, since it uses less digits than its factorization.

1320444312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46016 (or 46012 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1320444312 is about 36337.9183773644. The cubic root of 1320444312 is about 1097.0843757387.

Adding to 1320444312 its reverse (2134440231), we get a palindrome (3454884543).

The spelling of 1320444312 in words is "one billion, three hundred twenty million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 132 218 264 327 436 654 872 1199 1308 2398 2616 3597 4796 7194 9592 14388 28776 45887 91774 137661 183548 275322 367096 504757 550644 1009514 1101288 1514271 2019028 3028542 4038056 5001683 6057084 10003366 12114168 15005049 20006732 30010098 40013464 55018513 60020196 110037026 120040392 165055539 220074052 330111078 440148104 660222156 1320444312