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3880872 = 233453113
BaseRepresentation
bin1110110011011110101000
321022011120000
432303132220
51443141442
6215103000
744662332
oct16633650
97264500
103880872
112210836
121371a60
13a5b598
14730452
15519d4c
hex3b37a8

3880872 has 80 divisors (see below), whose sum is σ = 11173140. Its totient is φ = 1257984.

The previous prime is 3880871. The next prime is 3880889. The reversal of 3880872 is 2780883.

It can be written as a sum of positive squares in 2 ways, for example, as 3709476 + 171396 = 1926^2 + 414^2 .

It is a super-2 number, since 2×38808722 = 30122334960768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880871) 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 19 ways as a sum of consecutive naturals, for example, 34288 + ... + 34400.

Almost surely, 23880872 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 3880872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586570).

3880872 is an abundant number, since it is smaller than the sum of its proper divisors (7292268).

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

3880872 is a wasteful number, since it uses less digits than its factorization.

3880872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3880872 is about 1969.9928933882. The cubic root of 3880872 is about 157.1483310175.

The spelling of 3880872 in words is "three million, eight hundred eighty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 113 159 162 212 216 226 318 324 339 424 452 477 636 648 678 904 954 1017 1272 1356 1431 1908 2034 2712 2862 3051 3816 4068 4293 5724 5989 6102 8136 8586 9153 11448 11978 12204 17172 17967 18306 23956 24408 34344 35934 36612 47912 53901 71868 73224 107802 143736 161703 215604 323406 431208 485109 646812 970218 1293624 1940436 3880872