Search a number
-
+
3386961 = 331747157
BaseRepresentation
bin1100111010111001010001
320101002001000
430322321101
51331340321
6200332213
740534344
oct14727121
96332030
103386961
111a03746
121174069
13917826
1464245b
1546d826
hex33ae51

3386961 has 32 divisors (see below), whose sum is σ = 5460480. Its totient is φ = 2066688.

The previous prime is 3386951. The next prime is 3386983. The reversal of 3386961 is 1696833.

It is a happy number.

It is not a de Polignac number, because 3386961 - 26 = 3386897 is a prime.

It is a super-2 number, since 2×33869612 = 22943009631042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386941) 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, 21495 + ... + 21651.

It is an arithmetic number, because the mean of its divisors is an integer number (170640).

Almost surely, 23386961 is an apocalyptic number.

It is an amenable number.

3386961 is a deficient number, since it is larger than the sum of its proper divisors (2073519).

3386961 is a wasteful number, since it uses less digits than its factorization.

3386961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3386961 is about 1840.3697997957. The cubic root of 3386961 is about 150.1769910789.

Subtracting from 3386961 its product of digits (23328), we obtain a palindrome (3363633).

It can be divided in two parts, 33869 and 61, that added together give a triangular number (33930 = T260).

The spelling of 3386961 in words is "three million, three hundred eighty-six thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 27 47 51 141 153 157 423 459 471 799 1269 1413 2397 2669 4239 7191 7379 8007 21573 22137 24021 66411 72063 125443 199233 376329 1128987 3386961