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312906839 = 71929312617
BaseRepresentation
bin10010101001101…
…001010001010111
3210210210022111012
4102221221101113
51120101004324
651014402435
710516443560
oct2251512127
9723708435
10312906839
1115069a5a3
128896041b
134ca9979b
142d7b3167
151c70d20e
hex12a69457

312906839 has 32 divisors (see below), whose sum is σ = 402124800. Its totient is φ = 237323520.

The previous prime is 312906833. The next prime is 312906883. The reversal of 312906839 is 938609213.

It is a de Polignac number, because none of the positive numbers 2k-312906839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312906796 and 312906805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312906833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118259 + ... + 120875.

It is an arithmetic number, because the mean of its divisors is an integer number (12566400).

Almost surely, 2312906839 is an apocalyptic number.

312906839 is a deficient number, since it is larger than the sum of its proper divisors (89217961).

312906839 is a wasteful number, since it uses less digits than its factorization.

312906839 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703.

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 312906839 is about 17689.1729314855. The cubic root of 312906839 is about 678.8987646975.

The spelling of 312906839 in words is "three hundred twelve million, nine hundred six thousand, eight hundred thirty-nine".

Divisors: 1 7 19 29 31 133 203 217 551 589 899 2617 3857 4123 6293 17081 18319 49723 75893 81127 119567 348061 531251 567889 1441967 1541413 2352683 10093769 10789891 16468781 44700977 312906839