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1326343680 = 2933531619
BaseRepresentation
bin100111100001110…
…0110011000000000
310102102202020111000
41033003212120000
510204020444210
6335340052000
744603510124
oct11703463000
93372666430
101326343680
11620760702
12310234000
13181a2c95c
14c821b584
157b695ac0
hex4f0e6600

1326343680 has 320 divisors, whose sum is σ = 4871116800. Its totient is φ = 341729280.

The previous prime is 1326343663. The next prime is 1326343721. The reversal of 1326343680 is 863436231.

1326343680 is a `hidden beast` number, since 13 + 2 + 634 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 2142411 + ... + 2143029.

It is an arithmetic number, because the mean of its divisors is an integer number (15222240).

Almost surely, 21326343680 is an apocalyptic number.

1326343680 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 1326343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435558400).

1326343680 is an abundant number, since it is smaller than the sum of its proper divisors (3544773120).

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

1326343680 is an equidigital number, since it uses as much as digits as its factorization.

1326343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1326343680 is about 36419.0016337626. The cubic root of 1326343680 is about 1098.7157684824.

The spelling of 1326343680 in words is "one billion, three hundred twenty-six million, three hundred forty-three thousand, six hundred eighty".