Search a number
-
+
3774645 = 325723521
BaseRepresentation
bin1110011001100010110101
321002202211200
432121202311
51431242040
6212523113
744040540
oct16314265
97082750
103774645
112148a46
121320499
13a22124
14703857
154e8630
hex3998b5

3774645 has 48 divisors (see below), whose sum is σ = 7817472. Its totient is φ = 1647360.

The previous prime is 3774623. The next prime is 3774649. The reversal of 3774645 is 5464773.

3774645 is a `hidden beast` number, since 3 + 7 + 7 + 4 + 645 = 666.

It is not a de Polignac number, because 3774645 - 26 = 3774581 is a prime.

It is a Curzon number.

3774645 is a lucky number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6985 + ... + 7505.

It is an arithmetic number, because the mean of its divisors is an integer number (162864).

Almost surely, 23774645 is an apocalyptic number.

3774645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3774645 is an abundant number, since it is smaller than the sum of its proper divisors (4042827).

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

3774645 is a wasteful number, since it uses less digits than its factorization.

3774645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 559 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 3774645 is about 1942.8445640349. The cubic root of 3774645 is about 155.7012279582.

The spelling of 3774645 in words is "three million, seven hundred seventy-four thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 521 805 1035 1449 1563 2415 2605 3647 4689 7245 7815 10941 11983 18235 23445 32823 35949 54705 59915 83881 107847 164115 179745 251643 419405 539235 754929 1258215 3774645