Search a number
-
+
3338232 = 233367379
BaseRepresentation
bin1100101110111111111000
320021121012020
430232333320
51323310412
6155314440
740242312
oct14567770
96247166
103338232
111980077
12114ba20
138cb5b1
1462c7b2
1545e18c
hex32eff8

3338232 has 32 divisors (see below), whose sum is σ = 8390400. Its totient is φ = 1106784.

The previous prime is 3338213. The next prime is 3338249. The reversal of 3338232 is 2328333.

It is a super-2 number, since 2×33382322 = 22287585771648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 33 + 311 + 312 + 83 + 29 + 312 + 221 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8619 + ... + 8997.

It is an arithmetic number, because the mean of its divisors is an integer number (262200).

Almost surely, 23338232 is an apocalyptic number.

It is an amenable number.

3338232 is an abundant number, since it is smaller than the sum of its proper divisors (5052168).

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

3338232 is a wasteful number, since it uses less digits than its factorization.

3338232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 3338232 is about 1827.0829209426. The cubic root of 3338232 is about 149.4532987613.

It can be divided in two parts, 3338 and 232, that added together give a triangular number (3570 = T84).

The spelling of 3338232 in words is "three million, three hundred thirty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 367 379 734 758 1101 1137 1468 1516 2202 2274 2936 3032 4404 4548 8808 9096 139093 278186 417279 556372 834558 1112744 1669116 3338232