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10346002004 = 22131931030889
BaseRepresentation
bin10011010001010101…
…10111011001010100
3222201000211100122102
421220222313121110
5132142034031004
64430342421232
7514245365102
oct115052673124
928630740572
1010346002004
11442a059488
122008a31818
13c8b5a39a0
147020acc72
1540845711e
hex268ab7654

10346002004 has 24 divisors (see below), whose sum is σ = 19599280680. Its totient is φ = 4750331904.

The previous prime is 10346001989. The next prime is 10346002061. The reversal of 10346002004 is 40020064301.

It is a happy number.

10346002004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19377604 + 10326624400 = 4402^2 + 101620^2 .

It is a super-3 number, since 3×103460020043 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 505409 + ... + 525480.

It is an arithmetic number, because the mean of its divisors is an integer number (816636695).

Almost surely, 210346002004 is an apocalyptic number.

It is an amenable number.

10346002004 is a deficient number, since it is larger than the sum of its proper divisors (9253278676).

10346002004 is a wasteful number, since it uses less digits than its factorization.

10346002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031099 (or 1031097 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10346002004 its reverse (40020064301), we get a palindrome (50366066305).

The spelling of 10346002004 in words is "ten billion, three hundred forty-six million, two thousand, four".

Divisors: 1 2 4 13 26 52 193 386 772 2509 5018 10036 1030889 2061778 4123556 13401557 26803114 53606228 198961577 397923154 795846308 2586500501 5173001002 10346002004