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1350328320 = 2133451137
BaseRepresentation
bin101000001111100…
…0110000000000000
310111002212210020000
41100133012000000
510231141001240
6341554120000
745314413155
oct12037060000
93432783200
101350328320
11633252720
12318280000
131869a9953
14cb4a222c
157d832430
hex507c6000

1350328320 has 560 divisors, whose sum is σ = 5423690448. Its totient is φ = 318504960.

The previous prime is 1350328319. The next prime is 1350328327. The reversal of 1350328320 is 238230531.

1350328320 is a `hidden beast` number, since 13 + 5 + 0 + 328 + 320 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350328327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36495342 + ... + 36495378.

Almost surely, 21350328320 is an apocalyptic number.

1350328320 is a gapful number since it is divisible by the number (10) 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 1350328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711845224).

1350328320 is an abundant number, since it is smaller than the sum of its proper divisors (4073362128).

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

1350328320 is an equidigital number, since it uses as much as digits as its factorization.

1350328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1350328320 is about 36746.8137394251. The cubic root of 1350328320 is about 1105.2990379759.

Adding to 1350328320 its reverse (238230531), we get a palindrome (1588558851).

The spelling of 1350328320 in words is "one billion, three hundred fifty million, three hundred twenty-eight thousand, three hundred twenty".