Search a number
-
+
880404 = 223747223
BaseRepresentation
bin11010110111100010100
31122201200120
43112330110
5211133104
630511540
710324530
oct3267424
91581616
10880404
11551508
123655b0
1324a965
1418cbc0
15125cd9
hexd6f14

880404 has 48 divisors (see below), whose sum is σ = 2408448. Its totient is φ = 245088.

The previous prime is 880367. The next prime is 880409. The reversal of 880404 is 404088.

It is a super-2 number, since 2×8804042 = 1550222406432, which contains 22 as substring.

880404 is a modest number, since divided by 404 gives 88 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3837 + ... + 4059.

It is an arithmetic number, because the mean of its divisors is an integer number (50176).

2880404 is an apocalyptic number.

880404 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204224).

880404 is an abundant number, since it is smaller than the sum of its proper divisors (1528044).

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

880404 is a wasteful number, since it uses less digits than its factorization.

880404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 880404 is about 938.2984599796. The cubic root of 880404 is about 95.8430595463.

The spelling of 880404 in words is "eight hundred eighty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 223 282 329 446 564 658 669 892 987 1316 1338 1561 1974 2676 3122 3948 4683 6244 9366 10481 18732 20962 31443 41924 62886 73367 125772 146734 220101 293468 440202 880404