Search a number
-
+
3781323 = 3771319
BaseRepresentation
bin1110011011001011001011
321010010000000
432123023023
51432000243
6213014043
744066160
oct16331313
97103000
103781323
112152a67
121324323
13a25190
14706067
154ea5d3
hex39b2cb

3781323 has 64 divisors (see below), whose sum is σ = 7347200. Its totient is φ = 1889568.

The previous prime is 3781313. The next prime is 3781367. The reversal of 3781323 is 3231873.

It is not a de Polignac number, because 3781323 - 29 = 3780811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3024) is a multiple of the sum of its prime divisors (42).

3781323 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3781303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199008 + ... + 199026.

It is an arithmetic number, because the mean of its divisors is an integer number (114800).

Almost surely, 23781323 is an apocalyptic number.

3781323 is a deficient number, since it is larger than the sum of its proper divisors (3565877).

3781323 is an equidigital number, since it uses as much as digits as its factorization.

3781323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3781323 is about 1944.5624186433. The cubic root of 3781323 is about 155.7929946650.

The spelling of 3781323 in words is "three million, seven hundred eighty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 9 13 19 21 27 39 57 63 81 91 117 133 171 189 243 247 273 351 399 513 567 729 741 819 1053 1197 1539 1701 1729 2187 2223 2457 3159 3591 4617 5103 5187 6669 7371 9477 10773 13851 15309 15561 20007 22113 28431 32319 41553 46683 60021 66339 96957 140049 180063 199017 290871 420147 540189 1260441 3781323