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3362148 = 22361153
BaseRepresentation
bin1100110100110101100100
320022211000000
430310311210
51330042043
6200021300
740402116
oct14646544
96284000
103362148
111997039
121161830
1390944a
146373b6
154662d3
hex334d64

3362148 has 42 divisors (see below), whose sum is σ = 8829254. Its totient is φ = 1119744.

The previous prime is 3362143. The next prime is 3362159. The reversal of 3362148 is 8412633.

It is a happy number.

3362148 is a `hidden beast` number, since 33 + 621 + 4 + 8 = 666.

3362148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3175524 + 186624 = 1782^2 + 432^2 .

It is a super-2 number, since 2×33621482 = 22608078347808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3362143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2340 + ... + 3492.

Almost surely, 23362148 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 3362148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414627).

3362148 is an abundant number, since it is smaller than the sum of its proper divisors (5467106).

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

3362148 is a wasteful number, since it uses less digits than its factorization.

3362148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1158 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3362148 is about 1833.6160994058. The cubic root of 3362148 is about 149.8093578063.

The spelling of 3362148 in words is "three million, three hundred sixty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1153 1458 2306 2916 3459 4612 6918 10377 13836 20754 31131 41508 62262 93393 124524 186786 280179 373572 560358 840537 1120716 1681074 3362148