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3742290 = 232543967
BaseRepresentation
bin1110010001101001010010
321001010110100
432101221102
51424223130
6212113230
743544316
oct16215122
97033410
103742290
112126702
121305816
13a10496
146d5b46
154ddc60
hex391a52

3742290 has 48 divisors (see below), whose sum is σ = 9966528. Its totient is φ = 973728.

The previous prime is 3742283. The next prime is 3742301. The reversal of 3742290 is 922473.

3742290 is a `hidden beast` number, since 374 + 2 + 290 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3387 + ... + 4353.

It is an arithmetic number, because the mean of its divisors is an integer number (207636).

Almost surely, 23742290 is an apocalyptic number.

3742290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 1934×1935.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983264).

3742290 is an abundant number, since it is smaller than the sum of its proper divisors (6224238).

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

3742290 is a wasteful number, since it uses less digits than its factorization.

3742290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3742290 is about 1934.4999353838. The cubic root of 3742290 is about 155.2550777432.

The spelling of 3742290 in words is "three million, seven hundred forty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 967 1290 1934 1935 2901 3870 4835 5802 8703 9670 14505 17406 29010 41581 43515 83162 87030 124743 207905 249486 374229 415810 623715 748458 1247430 1871145 3742290