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800343040 = 21057137163
BaseRepresentation
bin101111101101000…
…100010000000000
32001202222122020211
4233231010100000
53114341434130
6211230043504
725555542430
oct5755042000
92052878224
10800343040
11380855632
121a4049594
13c9a73083
14784182c0
154a3e3a2a
hex2fb44400

800343040 has 176 divisors, whose sum is σ = 2223729792. Its totient is φ = 270729216.

The previous prime is 800343013. The next prime is 800343067. The reversal of 800343040 is 40343008.

It is an interprime number because it is at equal distance from previous prime (800343013) and next prime (800343067).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4909999 + ... + 4910161.

Almost surely, 2800343040 is an apocalyptic number.

800343040 is a gapful number since it is divisible by the number (80) 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 800343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111864896).

800343040 is an abundant number, since it is smaller than the sum of its proper divisors (1423386752).

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

800343040 is a wasteful number, since it uses less digits than its factorization.

800343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 800343040 is about 28290.3347452801. The cubic root of 800343040 is about 928.4504353144.

Adding to 800343040 its reverse (40343008), we get a palindrome (840686048).

The spelling of 800343040 in words is "eight hundred million, three hundred forty-three thousand, forty".