Search a number
-
+
3199008 = 25347709
BaseRepresentation
bin1100001101000000100000
320000112012210
430031000200
51304332013
6152322120
736122361
oct14150040
96015183
103199008
11189550a
1210a3340
13880107
145d3b68
15432cc3
hex30d020

3199008 has 48 divisors (see below), whose sum is σ = 8588160. Its totient is φ = 1042176.

The previous prime is 3198997. The next prime is 3199013. The reversal of 3199008 is 8009913.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4158 + ... + 4866.

It is an arithmetic number, because the mean of its divisors is an integer number (178920).

Almost surely, 23199008 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 3199008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294080).

3199008 is an abundant number, since it is smaller than the sum of its proper divisors (5389152).

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

3199008 is a wasteful number, since it uses less digits than its factorization.

3199008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 3199008 is about 1788.5770880787. The cubic root of 3199008 is about 147.3460310417.

The spelling of 3199008 in words is "three million, one hundred ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 709 752 1128 1418 1504 2127 2256 2836 4254 4512 5672 8508 11344 17016 22688 33323 34032 66646 68064 99969 133292 199938 266584 399876 533168 799752 1066336 1599504 3199008