Search a number
-
+
3774640 = 245291627
BaseRepresentation
bin1110011001100010110000
321002202211111
432121202300
51431242030
6212523104
744040532
oct16314260
97082744
103774640
112148a41
121320494
13a2211c
14703852
154e862a
hex3998b0

3774640 has 40 divisors (see below), whose sum is σ = 9084240. Its totient is φ = 1456896.

The previous prime is 3774623. The next prime is 3774649. The reversal of 3774640 is 464773.

3774640 is digitally balanced in base 5, because in such base 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 (3774649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1507 + ... + 3133.

It is an arithmetic number, because the mean of its divisors is an integer number (227106).

Almost surely, 23774640 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 3774640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542120).

3774640 is an abundant number, since it is smaller than the sum of its proper divisors (5309600).

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

3774640 is a wasteful number, since it uses less digits than its factorization.

3774640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 3774640 is about 1942.8432772614. The cubic root of 3774640 is about 155.7011592095.

The spelling of 3774640 in words is "three million, seven hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1627 2320 3254 6508 8135 13016 16270 26032 32540 47183 65080 94366 130160 188732 235915 377464 471830 754928 943660 1887320 3774640