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3742362 = 234131777
BaseRepresentation
bin1110010001101010011010
321001010120000
432101222122
51424223422
6212113430
743544451
oct16215232
97033500
103742362
112126768
121305876
13a10520
146d5b98
154ddcac
hex391a9a

3742362 has 40 divisors (see below), whose sum is σ = 9035796. Its totient is φ = 1150848.

The previous prime is 3742337. The next prime is 3742367. The reversal of 3742362 is 2632473.

3742362 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 2 ways, for example, as 3606201 + 136161 = 1899^2 + 369^2 .

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 (3742367) 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 19 ways as a sum of consecutive naturals, for example, 1218 + ... + 2994.

Almost surely, 23742362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517898).

3742362 is an abundant number, since it is smaller than the sum of its proper divisors (5293434).

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

3742362 is a wasteful number, since it uses less digits than its factorization.

3742362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1795 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 3742362 is about 1934.5185447547. The cubic root of 3742362 is about 155.2560734164.

It can be divided in two parts, 374 and 2362, that multiplied together give a palindrome (883388).

The spelling of 3742362 in words is "three million, seven hundred forty-two thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 1777 2106 3554 5331 10662 15993 23101 31986 46202 47979 69303 95958 138606 143937 207909 287874 415818 623727 1247454 1871181 3742362