Search a number
-
+
3747042 = 2321367239
BaseRepresentation
bin1110010010110011100010
321001100222100
432102303202
51424401132
6212151230
743564215
oct16226342
97040870
103747042
11212a232
121308516
13a126b0
146d777c
154e037c
hex392ce2

3747042 has 48 divisors (see below), whose sum is σ = 8910720. Its totient is φ = 1130976.

The previous prime is 3747019. The next prime is 3747043. The reversal of 3747042 is 2407473.

3747042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3746997 and 3747015.

It is not an unprimeable number, because it can be changed into a prime (3747043) 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 23 ways as a sum of consecutive naturals, for example, 15559 + ... + 15797.

It is an arithmetic number, because the mean of its divisors is an integer number (185640).

Almost surely, 23747042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3747042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455360).

3747042 is an abundant number, since it is smaller than the sum of its proper divisors (5163678).

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

3747042 is a wasteful number, since it uses less digits than its factorization.

3747042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 3747042 is about 1935.7277701164. The cubic root of 3747042 is about 155.3207648022.

The spelling of 3747042 in words is "three million, seven hundred forty-seven thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 117 134 201 234 239 402 478 603 717 871 1206 1434 1742 2151 2613 3107 4302 5226 6214 7839 9321 15678 16013 18642 27963 32026 48039 55926 96078 144117 208169 288234 416338 624507 1249014 1873521 3747042