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993040399 = 13667911437
BaseRepresentation
bin111011001100001…
…001100000001111
32120012120200100001
4323030021200033
54013204243044
6242312145131
733415463341
oct7314114017
92505520301
10993040399
1146a5aaa4a
122386981a7
1312a971490
1495c59291
155c2a92d4
hex3b30980f

993040399 has 8 divisors (see below), whose sum is σ = 1069681760. Its totient is φ = 916435296.

The previous prime is 993040361. The next prime is 993040421.

993040399 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 993040399 - 211 = 993038351 is a prime.

It is a super-2 number, since 2×9930403992 = 1972258468092158402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993040309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81109 + ... + 92545.

It is an arithmetic number, because the mean of its divisors is an integer number (133710220).

Almost surely, 2993040399 is an apocalyptic number.

993040399 is a deficient number, since it is larger than the sum of its proper divisors (76641361).

993040399 is a wasteful number, since it uses less digits than its factorization.

993040399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18129.

The product of its (nonzero) digits is 236196, while the sum is 46.

The square root of 993040399 is about 31512.5435184150. The cubic root of 993040399 is about 997.6747303117.

The spelling of 993040399 in words is "nine hundred ninety-three million, forty thousand, three hundred ninety-nine".

Divisors: 1 13 6679 11437 86827 148681 76387723 993040399