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3883104 = 253297139
BaseRepresentation
bin1110110100000001100000
321022021121200
432310001200
51443224404
6215121200
745002001
oct16640140
97267550
103883104
112212485
121373200
13a5c5c4
147311a8
1551a839
hex3b4060

3883104 has 72 divisors (see below), whose sum is σ = 11236680. Its totient is φ = 1271808.

The previous prime is 3883079. The next prime is 3883109. The reversal of 3883104 is 4013883.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3883109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27867 + ... + 28005.

It is an arithmetic number, because the mean of its divisors is an integer number (156065).

Almost surely, 23883104 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 3883104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618340).

3883104 is an abundant number, since it is smaller than the sum of its proper divisors (7353576).

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

3883104 is a wasteful number, since it uses less digits than its factorization.

3883104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3883104 is about 1970.5593114646. The cubic root of 3883104 is about 157.1784520705.

Adding to 3883104 its reverse (4013883), we get a palindrome (7896987).

The spelling of 3883104 in words is "three million, eight hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 139 144 194 278 288 291 388 417 556 582 776 834 873 1112 1164 1251 1552 1668 1746 2224 2328 2502 3104 3336 3492 4448 4656 5004 6672 6984 9312 10008 13344 13483 13968 20016 26966 27936 40032 40449 53932 80898 107864 121347 161796 215728 242694 323592 431456 485388 647184 970776 1294368 1941552 3883104