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793730340 = 223551317739
BaseRepresentation
bin101111010011110…
…101110100100100
32001022112200100000
4233103311310210
53111143332330
6210432221300
725445411424
oct5723656444
92038480300
10793730340
11378049397
121a199a830
13c8599230
14775b6484
1549a39560
hex2f4f5d24

793730340 has 288 divisors, whose sum is σ = 2850906240. Its totient is φ = 183638016.

The previous prime is 793730321. The next prime is 793730341. The reversal of 793730340 is 43037397.

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

It is a junction number, because it is equal to n+sod(n) for n = 793730295 and 793730304.

It is not an unprimeable number, because it can be changed into a prime (793730341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1073691 + ... + 1074429.

It is an arithmetic number, because the mean of its divisors is an integer number (9898980).

Almost surely, 2793730340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 793730340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425453120).

793730340 is an abundant number, since it is smaller than the sum of its proper divisors (2057175900).

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

793730340 is a wasteful number, since it uses less digits than its factorization.

793730340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 793730340 is about 28173.2202632216. The cubic root of 793730340 is about 925.8863051139.

The spelling of 793730340 in words is "seven hundred ninety-three million, seven hundred thirty thousand, three hundred forty".