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10321042344 = 2335364712541
BaseRepresentation
bin10011001110010111…
…01001101110101000
3222122021212021102120
421213023221232220
5132114141323334
64424051431240
7513523261314
oct114713515650
928567767376
1010321042344
114416a60968
1220005b5520
13c86374c62
146dca52b44
15406176949
hex2672e9ba8

10321042344 has 64 divisors (see below), whose sum is σ = 26332179840. Its totient is φ = 3369949440.

The previous prime is 10321042313. The next prime is 10321042349. The reversal of 10321042344 is 44324012301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10321042349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816714 + ... + 829254.

It is an arithmetic number, because the mean of its divisors is an integer number (411440310).

Almost surely, 210321042344 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 10321042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13166089920).

10321042344 is an abundant number, since it is smaller than the sum of its proper divisors (16011137496).

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

10321042344 is a wasteful number, since it uses less digits than its factorization.

10321042344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13250 (or 13246 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10321042344 its reverse (44324012301), we get a palindrome (54645054645).

The spelling of 10321042344 in words is "ten billion, three hundred twenty-one million, forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 647 1272 1294 1941 2588 3882 5176 7764 12541 15528 25082 34291 37623 50164 68582 75246 100328 102873 137164 150492 205746 274328 300984 411492 664673 822984 1329346 1994019 2658692 3988038 5317384 7976076 8114027 15952152 16228054 24342081 32456108 48684162 64912216 97368324 194736648 430043431 860086862 1290130293 1720173724 2580260586 3440347448 5160521172 10321042344