Search a number
-
+
3342656 = 26291801
BaseRepresentation
bin1100110000000101000000
320021211021002
430300011000
51323431111
6155351132
740261232
oct14600500
96254232
103342656
111983429
1211524a8
13900605
14630252
1546063b
hex330140

3342656 has 28 divisors (see below), whose sum is σ = 6865620. Its totient is φ = 1612800.

The previous prime is 3342629. The next prime is 3342667. The reversal of 3342656 is 6562433.

It can be written as a sum of positive squares in 2 ways, for example, as 1032256 + 2310400 = 1016^2 + 1520^2 .

It is a super-2 number, since 2×33426562 = 22346698268672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 956 + ... + 2756.

Almost surely, 23342656 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 3342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432810).

3342656 is an abundant number, since it is smaller than the sum of its proper divisors (3522964).

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

3342656 is a wasteful number, since it uses less digits than its factorization.

3342656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1832 counting only the distinct ones).

The product of its digits is 12960, while the sum is 29.

The square root of 3342656 is about 1828.2931931176. The cubic root of 3342656 is about 149.5192907326.

The spelling of 3342656 in words is "three million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1801 1856 3602 7204 14408 28816 52229 57632 104458 115264 208916 417832 835664 1671328 3342656