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312340034032 = 24138429178151
BaseRepresentation
bin1001000101110001110…
…10101011000111110000
31002212012111212201002121
410202320322223013300
520104133022042112
6355253110524024
731365035325055
oct4427072530760
91085174781077
10312340034032
1111050a896534
125064a066614
13235b856a3b0
141118dd9502c
1581d0bea407
hex48b8eab1f0

312340034032 has 40 divisors (see below), whose sum is σ = 651790470240. Its totient is φ = 144139027200.

The previous prime is 312340033909. The next prime is 312340034053. The reversal of 312340034032 is 230430043213.

It is a super-3 number, since 3×3123400340323 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 312340033988 and 312340034006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1664157 + ... + 1842307.

It is an arithmetic number, because the mean of its divisors is an integer number (16294761756).

Almost surely, 2312340034032 is an apocalyptic number.

It is an amenable number.

312340034032 is an abundant number, since it is smaller than the sum of its proper divisors (339450436208).

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

312340034032 is a wasteful number, since it uses less digits than its factorization.

312340034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186601 (or 186595 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 312340034032 its reverse (230430043213), we get a palindrome (542770077245).

The spelling of 312340034032 in words is "three hundred twelve billion, three hundred forty million, thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 8429 16858 33716 67432 109577 134864 178151 219154 356302 438308 712604 876616 1425208 1753232 2315963 2850416 4631926 9263852 18527704 37055408 1501634779 3003269558 6006539116 12013078232 19521252127 24026156464 39042504254 78085008508 156170017016 312340034032