Search a number
-
+
312140493 = 3371986923
BaseRepresentation
bin10010100110101…
…110001011001101
3210202100101021000
4102212232023031
51114401443433
650550130513
710510102410
oct2246561315
9722311230
10312140493
11150216855
1288650a39
134c88ba22
142d653b77
151c60b113
hex129ae2cd

312140493 has 32 divisors (see below), whose sum is σ = 556313600. Its totient is φ = 168976368.

The previous prime is 312140449. The next prime is 312140501. The reversal of 312140493 is 394041213.

312140493 is a `hidden beast` number, since 31 + 2 + 140 + 493 = 666.

It is not a de Polignac number, because 312140493 - 28 = 312140237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312140443) 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, 39871 + ... + 47052.

It is an arithmetic number, because the mean of its divisors is an integer number (17384800).

Almost surely, 2312140493 is an apocalyptic number.

It is an amenable number.

312140493 is a deficient number, since it is larger than the sum of its proper divisors (244173107).

312140493 is a wasteful number, since it uses less digits than its factorization.

312140493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86958 (or 86952 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 312140493 is about 17667.4982099900. The cubic root of 312140493 is about 678.3440770587.

The spelling of 312140493 in words is "three hundred twelve million, one hundred forty thousand, four hundred ninety-three".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 86923 260769 608461 782307 1651537 1825383 2346921 4954611 5476149 11560759 14863833 16428447 34682277 44591499 104046831 312140493