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1324093680 = 2432572132887
BaseRepresentation
bin100111011101100…
…0001000011110000
310102021111221001200
41032323001003300
510202431444210
6335215531200
744545416300
oct11673010360
93367457050
101324093680
1161a4641a8
1230b529b00
131814227b0
14c7bd3600
157b39e0c0
hex4eec10f0

1324093680 has 360 divisors, whose sum is σ = 5572580832. Its totient is φ = 279272448.

The previous prime is 1324093657. The next prime is 1324093691. The reversal of 1324093680 is 863904231.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457197 + ... + 460083.

Almost surely, 21324093680 is an apocalyptic number.

1324093680 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 1324093680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786290416).

1324093680 is an abundant number, since it is smaller than the sum of its proper divisors (4248487152).

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

1324093680 is a wasteful number, since it uses less digits than its factorization.

1324093680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1324093680 is about 36388.0980541715. The cubic root of 1324093680 is about 1098.0941322942.

The spelling of 1324093680 in words is "one billion, three hundred twenty-four million, ninety-three thousand, six hundred eighty".