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311030016 = 2831123347
BaseRepresentation
bin10010100010011…
…111000100000000
3210200020221222020
4102202133010000
51114110430031
650510241440
710464466023
oct2242370400
9720227866
10311030016
1114a628500
12881b6280
134c59043b
142d4451ba
151c48c096
hex1289f100

311030016 has 108 divisors (see below), whose sum is σ = 910160496. Its totient is φ = 94223360.

The previous prime is 311030003. The next prime is 311030063. The reversal of 311030016 is 610030113.

It is a junction number, because it is equal to n+sod(n) for n = 311029977 and 311030004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91255 + ... + 94601.

It is an arithmetic number, because the mean of its divisors is an integer number (8427412).

Almost surely, 2311030016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455080248).

311030016 is an abundant number, since it is smaller than the sum of its proper divisors (599130480).

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

311030016 is a wasteful number, since it uses less digits than its factorization.

311030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 311030016 is about 17636.0430936194. The cubic root of 311030016 is about 677.5386912540.

Adding to 311030016 its reverse (610030113), we get a palindrome (921060129).

The spelling of 311030016 in words is "three hundred eleven million, thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2816 2904 3347 3872 4224 5808 6694 7744 8448 10041 11616 13388 15488 20082 23232 26776 30976 36817 40164 46464 53552 73634 80328 92928 107104 110451 147268 160656 214208 220902 294536 321312 404987 428416 441804 589072 642624 809974 856832 883608 1178144 1214961 1285248 1619948 1767216 2356288 2429922 2570496 3239896 3534432 4712576 4859844 6479792 7068864 9425152 9719688 12959584 14137728 19439376 25919168 28275456 38878752 51838336 77757504 103676672 155515008 311030016