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4312016 = 241783191
BaseRepresentation
bin10000011100101111010000
322010001222022
4100130233100
52100441031
6232231012
751436322
oct20345720
98101868
104312016
112485755
12153b468
13b7c8b7
14803612
155a297b
hex41cbd0

4312016 has 40 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 1994240.

The previous prime is 4312013. The next prime is 4312019. The reversal of 4312016 is 6102134.

It is an interprime number because it is at equal distance from previous prime (4312013) and next prime (4312019).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 4311985 and 4312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22481 + ... + 22671.

Almost surely, 24312016 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 4312016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

4312016 is an abundant number, since it is smaller than the sum of its proper divisors (4687408).

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

4312016 is a wasteful number, since it uses less digits than its factorization.

4312016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4312016 is about 2076.5394289539. The cubic root of 4312016 is about 162.7646622043.

The spelling of 4312016 in words is "four million, three hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 83 136 166 191 272 332 382 664 764 1328 1411 1528 2822 3056 3247 5644 6494 11288 12988 15853 22576 25976 31706 51952 63412 126824 253648 269501 539002 1078004 2156008 4312016