Search a number
-
+
3380932808 = 2311196133149
BaseRepresentation
bin1100100110000100…
…1111000011001000
322201121211011220122
43021201033003020
523411004322213
61315253042412
7146532311651
oct31141170310
98647734818
103380932808
1114854a2950
127a4326408
1341b5ab176
14241046528
1514bc3cd08
hexc984f0c8

3380932808 has 64 divisors (see below), whose sum is σ = 7399080000. Its totient is φ = 1431993600.

The previous prime is 3380932759. The next prime is 3380932811. The reversal of 3380932808 is 8082390833.

It is a super-2 number, since 2×33809328082 = 22861413304421529728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85418 + ... + 118566.

It is an arithmetic number, because the mean of its divisors is an integer number (115610625).

Almost surely, 23380932808 is an apocalyptic number.

3380932808 is a gapful number since it is divisible by the number (38) 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 3380932808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699540000).

3380932808 is an abundant number, since it is smaller than the sum of its proper divisors (4018147192).

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

3380932808 is a wasteful number, since it uses less digits than its factorization.

3380932808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33246 (or 33242 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 3380932808 is about 58145.7892542530. The cubic root of 3380932808 is about 1500.8784200036.

The spelling of 3380932808 in words is "three billion, three hundred eighty million, nine hundred thirty-two thousand, eight hundred eight".

Divisors: 1 2 4 8 11 19 22 38 44 61 76 88 122 152 209 244 418 488 671 836 1159 1342 1672 2318 2684 4636 5368 9272 12749 25498 33149 50996 66298 101992 132596 265192 364639 629831 729278 1259662 1458556 2022089 2519324 2917112 4044178 5038648 6928141 8088356 13856282 16176712 22242979 27712564 38419691 44485958 55425128 76839382 88971916 153678764 177943832 307357528 422616601 845233202 1690466404 3380932808