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3742180 = 2251337389
BaseRepresentation
bin1110010001100111100100
321001010022021
432101213210
51424222210
6212112524
743544101
oct16214744
97033267
103742180
112126612
121305744
13a10410
146d5aa8
154ddbda
hex3919e4

3742180 has 48 divisors (see below), whose sum is σ = 8714160. Its totient is φ = 1340928.

The previous prime is 3742139. The next prime is 3742201. The reversal of 3742180 is 812473.

3742180 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 8 ways, for example, as 116964 + 3625216 = 342^2 + 1904^2 .

It is a super-2 number, since 2×37421802 = 28007822304800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9426 + ... + 9814.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 23742180 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 3742180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357080).

3742180 is an abundant number, since it is smaller than the sum of its proper divisors (4971980).

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

3742180 is a wasteful number, since it uses less digits than its factorization.

3742180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 3742180 is about 1934.4715040548. The cubic root of 3742180 is about 155.2535565511.

The spelling of 3742180 in words is "three million, seven hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 389 481 740 778 962 1556 1924 1945 2405 3890 4810 5057 7780 9620 10114 14393 20228 25285 28786 50570 57572 71965 101140 143930 187109 287860 374218 748436 935545 1871090 3742180