Search a number
-
+
3382202176 = 26314141579
BaseRepresentation
bin1100100110011000…
…0100111101000000
322201201012200011021
43021212010331000
523411320432201
61315340155224
7146546146513
oct31146047500
98651180137
103382202176
11148618a611
127a4838b14
1341b933b82
14241296d7a
1514bdddea1
hexc9984f40

3382202176 has 56 divisors (see below), whose sum is σ = 7097207040. Its totient is φ = 1596595200.

The previous prime is 3382202167. The next prime is 3382202177. The reversal of 3382202176 is 6712022833.

It is a super-2 number, since 2×33822021762 = 22878583118678269952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382202177) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60555 + ... + 102133.

It is an arithmetic number, because the mean of its divisors is an integer number (126735840).

Almost surely, 23382202176 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 3382202176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548603520).

3382202176 is an abundant number, since it is smaller than the sum of its proper divisors (3715004864).

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

3382202176 is a wasteful number, since it uses less digits than its factorization.

3382202176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41663 (or 41653 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3382202176 is about 58156.7036204770. The cubic root of 3382202176 is about 1501.0662309585.

The spelling of 3382202176 in words is "three billion, three hundred eighty-two million, two hundred two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1271 1312 1984 2542 2624 5084 10168 20336 40672 41579 81344 83158 166316 332632 665264 1288949 1330528 1704739 2577898 2661056 3409478 5155796 6818956 10311592 13637912 20623184 27275824 41246368 52846909 54551648 82492736 105693818 109103296 211387636 422775272 845550544 1691101088 3382202176