Search a number
-
+
311628240 = 243257211273
BaseRepresentation
bin10010100100110…
…001000111010000
3210201101100120200
4102210301013100
51114234100430
650531135200
710502540100
oct2244610720
9721340520
10311628240
1114a9a6a00
1288444500
134c73c811
142d55d200
151c559460
hex129311d0

311628240 has 540 divisors, whose sum is σ = 1356483492. Its totient is φ = 63866880.

The previous prime is 311628227. The next prime is 311628257. The reversal of 311628240 is 42826113.

311628240 is a `hidden beast` number, since 3 + 11 + 628 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 144288144 + 167340096 = 12012^2 + 12936^2 .

It is a super-2 number, since 2×3116282402 = 194224319930995200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4268844 + ... + 4268916.

Almost surely, 2311628240 is an apocalyptic number.

311628240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678241746).

311628240 is an abundant number, since it is smaller than the sum of its proper divisors (1044855252).

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

311628240 is a wasteful number, since it uses less digits than its factorization.

311628240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 311628240 is about 17652.9952132775. The cubic root of 311628240 is about 677.9727976138.

The spelling of 311628240 in words is "three hundred eleven million, six hundred twenty-eight thousand, two hundred forty".