Search a number
-
+
311126148 = 223220814153
BaseRepresentation
bin10010100010110…
…110100010000100
3210200102211211200
4102202312202010
51114122014043
650512302500
710465346214
oct2242664204
9720384750
10311126148
1114a693753
1288241a30
134c5c5118
142d46c244
151c4aa7d3
hex128b6884

311126148 has 36 divisors (see below), whose sum is σ = 787025148. Its totient is φ = 103633920.

The previous prime is 311126117. The next prime is 311126173. The reversal of 311126148 is 841621113.

It is a happy number.

311126148 is a `hidden beast` number, since 31 + 1 + 12 + 614 + 8 = 666.

311126148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44195904 + 266930244 = 6648^2 + 16338^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 72840 + ... + 76992.

Almost surely, 2311126148 is an apocalyptic number.

It is an amenable number.

311126148 is an abundant number, since it is smaller than the sum of its proper divisors (475899000).

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

311126148 is a wasteful number, since it uses less digits than its factorization.

311126148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244 (or 6239 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 311126148 is about 17638.7683243474. The cubic root of 311126148 is about 677.6084877762.

The spelling of 311126148 in words is "three hundred eleven million, one hundred twenty-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2081 4153 4162 6243 8306 8324 12459 12486 16612 18729 24918 24972 37377 37458 49836 74754 74916 149508 8642393 17284786 25927179 34569572 51854358 77781537 103708716 155563074 311126148