Search a number
-
+
3008916 = 2232195383
BaseRepresentation
bin1011011110100110010100
312122212110100
423132212110
51232241131
6144254100
734401231
oct13364624
95585410
103008916
111775709
121011330
13814731
14584788
153e67e6
hex2de994

3008916 has 72 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 921024.

The previous prime is 3008911. The next prime is 3008921. The reversal of 3008916 is 6198003.

It is an interprime number because it is at equal distance from previous prime (3008911) and next prime (3008921).

It is a self number, because there is not a number n which added to its sum of digits gives 3008916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3008911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36211 + ... + 36293.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 23008916 is an apocalyptic number.

3008916 is a gapful number since it is divisible by the number (36) 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 3008916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

3008916 is an abundant number, since it is smaller than the sum of its proper divisors (5246604).

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

3008916 is a wasteful number, since it uses less digits than its factorization.

3008916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3008916 is about 1734.6227255516. The cubic root of 3008916 is about 144.3676945761.

It can be divided in two parts, 300 and 8916, that added together give a square (9216 = 962).

The spelling of 3008916 in words is "three million, eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 83 106 114 159 166 171 212 228 249 318 332 342 477 498 636 684 747 954 996 1007 1494 1577 1908 2014 2988 3021 3154 4028 4399 4731 6042 6308 8798 9063 9462 12084 13197 14193 17596 18126 18924 26394 28386 36252 39591 52788 56772 79182 83581 158364 167162 250743 334324 501486 752229 1002972 1504458 3008916