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404123400 = 233252224513
BaseRepresentation
bin11000000101100…
…110111100001000
31001011102121002100
4120011212330020
51311423422100
6104033433400
713004664222
oct3005467410
91034377070
10404123400
1119813198a
12b340b860
1365956395
143b959412
152572a400
hex18166f08

404123400 has 72 divisors (see below), whose sum is σ = 1357187130. Its totient is φ = 107765760.

The previous prime is 404123393. The next prime is 404123449. The reversal of 404123400 is 4321404.

It can be written as a sum of positive squares in 3 ways, for example, as 388011204 + 16112196 = 19698^2 + 4014^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110457 + ... + 114056.

Almost surely, 2404123400 is an apocalyptic number.

404123400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404123400 is an abundant number, since it is smaller than the sum of its proper divisors (953063730).

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

404123400 is a wasteful number, since it uses less digits than its factorization.

404123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224535 (or 224523 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 404123400 is about 20102.8206976036. The cubic root of 404123400 is about 739.3294388078.

Adding to 404123400 its reverse (4321404), we get a palindrome (408444804).

The spelling of 404123400 in words is "four hundred four million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 224513 449026 673539 898052 1122565 1347078 1796104 2020617 2245130 2694156 3367695 4041234 4490260 5388312 5612825 6735390 8082468 8980520 10103085 11225650 13470780 16164936 16838475 20206170 22451300 26941560 33676950 40412340 44902600 50515425 67353900 80824680 101030850 134707800 202061700 404123400