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404203104 = 253223139439
BaseRepresentation
bin11000000101111…
…010011001100000
31001011120122102100
4120011322121200
51311433444404
6104035250400
713005445464
oct3005723140
91034518370
10404203104
11198186858
12b3449a00
1365983746
143b97a4a4
1525743d39
hex1817a660

404203104 has 144 divisors (see below), whose sum is σ = 1210809600. Its totient is φ = 127657728.

The previous prime is 404203103. The next prime is 404203123. The reversal of 404203104 is 401302404.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404203103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920517 + ... + 920955.

It is an arithmetic number, because the mean of its divisors is an integer number (8408400).

Almost surely, 2404203104 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 404203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605404800).

404203104 is an abundant number, since it is smaller than the sum of its proper divisors (806606496).

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

404203104 is a wasteful number, since it uses less digits than its factorization.

404203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 606 counting only the distinct ones).

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

The square root of 404203104 is about 20104.8030082366. The cubic root of 404203104 is about 739.3780408272.

Adding to 404203104 its reverse (401302404), we get a palindrome (805505508).

The spelling of 404203104 in words is "four hundred four million, two hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 139 144 184 207 276 278 288 368 414 417 439 552 556 736 828 834 878 1104 1112 1251 1317 1656 1668 1756 2208 2224 2502 2634 3197 3312 3336 3512 3951 4448 5004 5268 6394 6624 6672 7024 7902 9591 10008 10097 10536 12788 13344 14048 15804 19182 20016 20194 21072 25576 28773 30291 31608 38364 40032 40388 42144 51152 57546 60582 61021 63216 76728 80776 90873 102304 115092 121164 122042 126432 153456 161552 181746 183063 230184 242328 244084 306912 323104 363492 366126 460368 484656 488168 549189 726984 732252 920736 969312 976336 1098378 1403483 1453968 1464504 1952672 2196756 2806966 2907936 2929008 4210449 4393512 5613932 5858016 8420898 8787024 11227864 12631347 16841796 17574048 22455728 25262694 33683592 44911456 50525388 67367184 101050776 134734368 202101552 404203104