Search a number
-
+
3340681448 = 23132910191087
BaseRepresentation
bin1100011100011110…
…1100000011101000
322121211002012102112
43013013230003220
523320203301243
61311254221452
7145533216026
oct30707540350
98554065375
103340681448
111464800465
12792954888
134131570b0
14239969716
1514843b818
hexc71ec0e8

3340681448 has 64 divisors (see below), whose sum is σ = 6991488000. Its totient is φ = 1485856512.

The previous prime is 3340681429. The next prime is 3340681457. The reversal of 3340681448 is 8441860433.

It is a super-2 number, since 2×33406814482 = 22320305074022753408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3072761 + ... + 3073847.

It is an arithmetic number, because the mean of its divisors is an integer number (109242000).

Almost surely, 23340681448 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 3340681448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495744000).

3340681448 is an abundant number, since it is smaller than the sum of its proper divisors (3650806552).

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

3340681448 is a wasteful number, since it uses less digits than its factorization.

3340681448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The square root of 3340681448 is about 57798.6284266331. The cubic root of 3340681448 is about 1494.8984391286.

The spelling of 3340681448 in words is "three billion, three hundred forty million, six hundred eighty-one thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1019 1087 1508 2038 2174 3016 4076 4348 8152 8696 13247 14131 26494 28262 29551 31523 52988 56524 59102 63046 105976 113048 118204 126092 236408 252184 384163 409799 768326 819598 1107653 1536652 1639196 2215306 3073304 3278392 4430612 8861224 14399489 28798978 32121937 57597956 64243874 115195912 128487748 256975496 417585181 835170362 1670340724 3340681448