Search a number
-
+
3479916 = 2231141643
BaseRepresentation
bin1101010001100101101100
320112210112210
431101211230
51342324131
6202330420
741402346
oct15214554
96483483
103479916
111a67570
1211b9a10
1394ac2b
14668296
1548b146
hex35196c

3479916 has 48 divisors (see below), whose sum is σ = 9088128. Its totient is φ = 1027200.

The previous prime is 3479909. The next prime is 3479921. The reversal of 3479916 is 6199743.

3479916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 5091 + ... + 5733.

It is an arithmetic number, because the mean of its divisors is an integer number (189336).

Almost surely, 23479916 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 3479916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544064).

3479916 is an abundant number, since it is smaller than the sum of its proper divisors (5608212).

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

3479916 is a wasteful number, since it uses less digits than its factorization.

3479916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 700 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 3479916 is about 1865.4532961187. The cubic root of 3479916 is about 151.5384777388.

It can be divided in two parts, 347991 and 6, that multiplied together give a triangular number (2087946 = T2043).

The spelling of 3479916 in words is "three million, four hundred seventy-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 643 902 1286 1353 1804 1929 2572 2706 3858 5412 7073 7716 14146 21219 26363 28292 42438 52726 79089 84876 105452 158178 289993 316356 579986 869979 1159972 1739958 3479916