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1318328352 = 2533112337163
BaseRepresentation
bin100111010010100…
…0001100000100000
310101212200000112000
41032211001200200
510144443001402
6334452204000
744445414615
oct11645014040
93355600460
101318328352
11617186670
12309609600
13180184563
14c713250c
157ab10c1c
hex4e941820

1318328352 has 384 divisors, whose sum is σ = 4522936320. Its totient is φ = 369515520.

The previous prime is 1318328327. The next prime is 1318328383. The reversal of 1318328352 is 2538238131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8087823 + ... + 8087985.

It is an arithmetic number, because the mean of its divisors is an integer number (11778480).

Almost surely, 21318328352 is an apocalyptic number.

1318328352 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 1318328352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261468160).

1318328352 is an abundant number, since it is smaller than the sum of its proper divisors (3204607968).

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

1318328352 is a wasteful number, since it uses less digits than its factorization.

1318328352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1318328352 is about 36308.7916626263. The cubic root of 1318328352 is about 1096.4980509396.

The spelling of 1318328352 in words is "one billion, three hundred eighteen million, three hundred twenty-eight thousand, three hundred fifty-two".