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404023000 = 23533113033
BaseRepresentation
bin11000000101001…
…110011011011000
31001011020111100211
4120011032123120
51311412214000
6104031340504
713004065423
oct3005163330
91034214324
10404023000
11198073507
12b3381734
136591c784
143b9309ba
152570a7ba
hex1814e6d8

404023000 has 64 divisors (see below), whose sum is σ = 975985920. Its totient is φ = 156384000.

The previous prime is 404022961. The next prime is 404023007. The reversal of 404023000 is 320404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404023007) 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 15 ways as a sum of consecutive naturals, for example, 24484 + ... + 37516.

It is an arithmetic number, because the mean of its divisors is an integer number (15249780).

Almost surely, 2404023000 is an apocalyptic number.

404023000 is a gapful number since it is divisible by the number (40) 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 404023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487992960).

404023000 is an abundant number, since it is smaller than the sum of its proper divisors (571962920).

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

404023000 is a wasteful number, since it uses less digits than its factorization.

404023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13085 (or 13071 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 404023000 is about 20100.3233804832. The cubic root of 404023000 is about 739.2682076561.

Adding to 404023000 its reverse (320404), we get a palindrome (404343404).

The spelling of 404023000 in words is "four hundred four million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 13033 15500 26066 31000 52132 65165 104264 130330 260660 325825 404023 521320 651650 808046 1303300 1616092 1629125 2020115 2606600 3232184 3258250 4040230 6516500 8080460 10100575 13033000 16160920 20201150 40402300 50502875 80804600 101005750 202011500 404023000