Search a number
-
+
3362406141 = 330716092269
BaseRepresentation
bin1100100001101010…
…0011111011111101
322200022221221002210
43020122203323331
523341233444031
61313352011033
7146215660233
oct31032437375
98608857083
103362406141
111475a99556
1279a090a79
134177c2543
1423c7c2953
1514a2cd746
hexc86a3efd

3362406141 has 16 divisors (see below), whose sum is σ = 4502590400. Its totient is φ = 2231929728.

The previous prime is 3362406121. The next prime is 3362406161. The reversal of 3362406141 is 1416042633.

It is an interprime number because it is at equal distance from previous prime (3362406121) and next prime (3362406161).

It is not a de Polignac number, because 3362406141 - 211 = 3362404093 is a prime.

It is a super-2 number, since 2×33624061412 = 22611550114069023762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3362406099 and 3362406108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362406101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480755 + ... + 1483023.

It is an arithmetic number, because the mean of its divisors is an integer number (281411900).

Almost surely, 23362406141 is an apocalyptic number.

It is an amenable number.

3362406141 is a deficient number, since it is larger than the sum of its proper divisors (1140184259).

3362406141 is a wasteful number, since it uses less digits than its factorization.

3362406141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3362406141 is about 57986.2582083031. The cubic root of 3362406141 is about 1498.1319175890.

Adding to 3362406141 its reverse (1416042633), we get a palindrome (4778448774).

The spelling of 3362406141 in words is "three billion, three hundred sixty-two million, four hundred six thousand, one hundred forty-one".

Divisors: 1 3 307 921 1609 2269 4827 6807 493963 696583 1481889 2089749 3650821 10952463 1120802047 3362406141