Search a number
-
+
3742640 = 245114253
BaseRepresentation
bin1110010001101110110000
321001010221022
432101232300
51424231030
6212115012
743545326
oct16215660
97033838
103742640
1121269a0
121305a68
13a106a5
146d5d16
154ddde5
hex391bb0

3742640 has 40 divisors (see below), whose sum is σ = 9494928. Its totient is φ = 1360640.

The previous prime is 3742633. The next prime is 3742649. The reversal of 3742640 is 462473.

It is a happy number.

3742640 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3742649) 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 7 ways as a sum of consecutive naturals, for example, 1247 + ... + 3006.

Almost surely, 23742640 is an apocalyptic number.

It is an amenable number.

3742640 is an abundant number, since it is smaller than the sum of its proper divisors (5752288).

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

3742640 is a wasteful number, since it uses less digits than its factorization.

3742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 3742640 is about 1934.5903959236. The cubic root of 3742640 is about 155.2599177015.

The spelling of 3742640 in words is "three million, seven hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4253 8506 17012 21265 34024 42530 46783 68048 85060 93566 170120 187132 233915 340240 374264 467830 748528 935660 1871320 3742640