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10343321424 = 24321729532749
BaseRepresentation
bin10011010001000001…
…01000111101010000
3222200211210011120200
421220200220331100
5132140342241144
64430205135200
7514213532022
oct115040507520
928624704520
1010343321424
114428598527
122007b5a500
13c8ab75847
147019b2012
154080c7c69
hex268828f50

10343321424 has 240 divisors, whose sum is σ = 32316570000. Its totient is φ = 3072835584.

The previous prime is 10343321389. The next prime is 10343321431. The reversal of 10343321424 is 42412334301.

10343321424 is a `hidden beast` number, since 10 + 3 + 433 + 214 + 2 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34574400 + 10308747024 = 5880^2 + 101532^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3761202 + ... + 3763950.

It is an arithmetic number, because the mean of its divisors is an integer number (134652375).

Almost surely, 210343321424 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 10343321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158285000).

10343321424 is an abundant number, since it is smaller than the sum of its proper divisors (21973248576).

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

10343321424 is a wasteful number, since it uses less digits than its factorization.

10343321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10343321424 its reverse (42412334301), we get a palindrome (52755655725).

The spelling of 10343321424 in words is "ten billion, three hundred forty-three million, three hundred twenty-one thousand, four hundred twenty-four".