Search a number
-
+
3341302416 = 243248172
BaseRepresentation
bin1100011100101000…
…0011101010010000
322121212020202020100
43013022003222100
523320333134131
61311315412400
7145541413314
oct30712035220
98555222210
103341302416
111465094a61
12792bb4100
1341331392a
14239a8bb44
151485107e6
hexc7283a90

3341302416 has 45 divisors (see below), whose sum is σ = 9352947721. Its totient is φ = 1113536256.

The previous prime is 3341302411. The next prime is 3341302423. The reversal of 3341302416 is 6142031433.

The square root of 3341302416 is 57804.

It is a perfect power (a square), and thus also a powerful number.

3341302416 is a `hidden beast` number, since 3 + 3 + 413 + 0 + 241 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 304851600 + 3036450816 = 17460^2 + 55104^2 .

It is a super-2 number, since 2×33413024162 = 22328603670334874112, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 3341302416.

It is not an unprimeable number, because it can be changed into a prime (3341302411) 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 8 ways as a sum of consecutive naturals, for example, 691240 + ... + 696056.

Almost surely, 23341302416 is an apocalyptic number.

3341302416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3341302416 is the 57804-th square number.

It is an amenable number.

3341302416 is an abundant number, since it is smaller than the sum of its proper divisors (6011645305).

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

3341302416 is an frugal number, since it uses more digits than its factorization.

3341302416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The cubic root of 3341302416 is about 1494.9910576155.

Multiplying 3341302416 by its product of nonzero digits (5184), we get a square (17321311724544 = 41618882).

Adding to 3341302416 its reverse (6142031433), we get a palindrome (9483333849).

The spelling of 3341302416 in words is "three billion, three hundred forty-one million, three hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4817 9634 14451 19268 28902 38536 43353 57804 77072 86706 115608 173412 231216 346824 693648 23203489 46406978 69610467 92813956 139220934 185627912 208831401 278441868 371255824 417662802 556883736 835325604 1113767472 1670651208 3341302416