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3366982146 = 2311475918397
BaseRepresentation
bin1100100010110000…
…0001001000000010
322200122120102012110
43020230001020002
523343421412041
61314034040150
7146302606323
oct31054011002
98618512173
103366982146
111478634580
1279b719056
13418735338
1423d25444a
1514a8d4516
hexc8b01202

3366982146 has 64 divisors (see below), whose sum is σ = 7630018560. Its totient is φ = 981610560.

The previous prime is 3366982123. The next prime is 3366982147. The reversal of 3366982146 is 6412896633.

It is a super-2 number, since 2×33669821462 = 22673137542965530632, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3366982095 and 3366982104.

It is not an unprimeable number, because it can be changed into a prime (3366982147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173820 + ... + 192216.

It is an arithmetic number, because the mean of its divisors is an integer number (119219040).

Almost surely, 23366982146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366982146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815009280).

3366982146 is an abundant number, since it is smaller than the sum of its proper divisors (4263036414).

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

3366982146 is a wasteful number, since it uses less digits than its factorization.

3366982146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18519.

The product of its digits is 1119744, while the sum is 48.

The square root of 3366982146 is about 58025.7024602029. The cubic root of 3366982146 is about 1498.8112279073.

The spelling of 3366982146 in words is "three billion, three hundred sixty-six million, nine hundred eighty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 47 59 66 94 118 141 177 282 354 517 649 1034 1298 1551 1947 2773 3102 3894 5546 8319 16638 18397 30503 36794 55191 61006 91509 110382 183018 202367 404734 607101 864659 1085423 1214202 1729318 2170846 2593977 3256269 5187954 6512538 9511249 11939653 19022498 23879306 28533747 35818959 51014881 57067494 71637918 102029762 153044643 306089286 561163691 1122327382 1683491073 3366982146