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404023004 = 227112415443
BaseRepresentation
bin11000000101001…
…110011011011100
31001011020111100222
4120011032123130
51311412214004
6104031340512
713004065430
oct3005163334
91034214328
10404023004
11198073510
12b3381738
136591c788
143b9309c0
152570a7be
hex1814e6dc

404023004 has 48 divisors (see below), whose sum is σ = 885325056. Its totient is φ = 156729600.

The previous prime is 404022961. The next prime is 404023007. The reversal of 404023004 is 400320404.

It is a super-2 number, since 2×4040230042 = 326469175522368032, which contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71507 + ... + 76949.

It is an arithmetic number, because the mean of its divisors is an integer number (18444272).

Almost surely, 2404023004 is an apocalyptic number.

404023004 is a gapful number since it is divisible by the number (44) 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 404023004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442662528).

404023004 is an abundant number, since it is smaller than the sum of its proper divisors (481302052).

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

404023004 is a wasteful number, since it uses less digits than its factorization.

404023004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 404023004 is about 20100.3234799841. The cubic root of 404023004 is about 739.2682100958.

Adding to 404023004 its reverse (400320404), we get a palindrome (804343408).

The spelling of 404023004 in words is "four hundred four million, twenty-three thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 241 308 482 964 1687 2651 3374 5302 5443 6748 10604 10886 18557 21772 37114 38101 59873 74228 76202 119746 152404 239492 419111 838222 1311763 1676444 2623526 5247052 9182341 14429393 18364682 28858786 36729364 57717572 101005751 202011502 404023004