Search a number
-
+
310366242 = 2341915841
BaseRepresentation
bin10010011111111…
…101000000100010
3210122000020110000
4102133331000202
51113423204432
650444120430
710456032564
oct2237750042
9718006400
10310366242
1114a21482a
1287b36116
134c3ba284
142d311334
151c3aa57c
hex127fd022

310366242 has 20 divisors (see below), whose sum is σ = 695450646. Its totient is φ = 103455360.

The previous prime is 310366241. The next prime is 310366247. The reversal of 310366242 is 242663013.

310366242 is a `hidden beast` number, since 3 + 1 + 0 + 36 + 624 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308318481 + 2047761 = 17559^2 + 1431^2 .

It is a super-3 number, since 3×3103662423 (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (310366241) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 957759 + ... + 958082.

Almost surely, 2310366242 is an apocalyptic number.

310366242 is an abundant number, since it is smaller than the sum of its proper divisors (385084404).

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

310366242 is a wasteful number, since it uses less digits than its factorization.

310366242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915855 (or 1915846 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 310366242 is about 17617.2143655006. The cubic root of 310366242 is about 677.0563660217.

The spelling of 310366242 in words is "three hundred ten million, three hundred sixty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 1915841 3831682 5747523 11495046 17242569 34485138 51727707 103455414 155183121 310366242