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3442300323 = 37311227647
BaseRepresentation
bin1100110100101101…
…0101010110100011
322212220021222022120
43031023111112203
524022212102243
61325324235323
7151206033000
oct31513252643
98786258276
103442300323
1115070a8200
1280099bb43
1342b2166c7
1424925c8a7
15152310c83
hexcd2d55a3

3442300323 has 48 divisors (see below), whose sum is σ = 5883494400. Its totient is φ = 1788143280.

The previous prime is 3442300297. The next prime is 3442300331. The reversal of 3442300323 is 3230032443.

It is not a de Polignac number, because 3442300323 - 210 = 3442299299 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3442300293 and 3442300302.

It is not an unprimeable number, because it can be changed into a prime (3442300343) 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 47 ways as a sum of consecutive naturals, for example, 110686 + ... + 138332.

It is an arithmetic number, because the mean of its divisors is an integer number (122572800).

Almost surely, 23442300323 is an apocalyptic number.

3442300323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3442300323 is a deficient number, since it is larger than the sum of its proper divisors (2441194077).

3442300323 is a wasteful number, since it uses less digits than its factorization.

3442300323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27693 (or 27668 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3442300323 is about 58671.1200080585. The cubic root of 3442300323 is about 1509.9048699627.

Adding to 3442300323 its reverse (3230032443), we get a palindrome (6672332766).

The spelling of 3442300323 in words is "three billion, four hundred forty-two million, three hundred thousand, three hundred twenty-three".

Divisors: 1 3 7 11 21 33 49 77 121 147 231 343 363 539 847 1029 1617 2541 3773 5929 11319 17787 27647 41503 82941 124509 193529 304117 580587 912351 1354703 2128819 3345287 4064109 6386457 9482921 10035861 14901733 23417009 28448763 44705199 70251027 104312131 163919063 312936393 491757189 1147433441 3442300323