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311936427 = 351121032
BaseRepresentation
bin10010100101111…
…100010110101011
3210201222000100000
4102211330112223
51114323431202
650541514043
710505262435
oct2245742653
9721860300
10311936427
11150097500
1288572923
134c819b8a
142d5dd655
151c5ba91c
hex1297c5ab

311936427 has 54 divisors (see below), whose sum is σ = 518637756. Its totient is φ = 187216920.

The previous prime is 311936423. The next prime is 311936459. The reversal of 311936427 is 724639113.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

311936427 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 3 + 642 + 7 = 666.

It is not a de Polignac number, because 311936427 - 22 = 311936423 is a prime.

Its product of digits (27216) is a multiple of the sum of its prime factors (243).

It is a junction number, because it is equal to n+sod(n) for n = 311936391 and 311936400.

It is not an unprimeable number, because it can be changed into a prime (311936423) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3028458 + ... + 3028560.

Almost surely, 2311936427 is an apocalyptic number.

311936427 is a deficient number, since it is larger than the sum of its proper divisors (206701329).

311936427 is an equidigital number, since it uses as much as digits as its factorization.

311936427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 117 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 311936427 is about 17661.7220847798. The cubic root of 311936427 is about 678.1962193444.

The spelling of 311936427 in words is "three hundred eleven million, nine hundred thirty-six thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 27 33 81 99 103 121 243 297 309 363 891 927 1089 1133 2673 2781 3267 3399 8343 9801 10197 10609 12463 25029 29403 30591 31827 37389 91773 95481 112167 116699 275319 286443 336501 350097 859329 1009503 1050291 1283689 2577987 3028509 3150873 3851067 9452619 11553201 28357857 34659603 103978809 311936427