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404231004 = 2232192932017
BaseRepresentation
bin11000000110000…
…001001101011100
31001011122001200200
4120012001031130
51311440343004
6104040023500
713005623022
oct3006011534
91034561620
10404231004
111981a5811
12b3461b90
1365993358
143b986712
152574c239
hex1818135c

404231004 has 72 divisors (see below), whose sum is σ = 1079791440. Its totient is φ = 127153152.

The previous prime is 404230991. The next prime is 404231017. The reversal of 404231004 is 400132404.

It is an interprime number because it is at equal distance from previous prime (404230991) and next prime (404231017).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199404 + ... + 201420.

Almost surely, 2404231004 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 404231004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539895720).

404231004 is an abundant number, since it is smaller than the sum of its proper divisors (675560436).

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

404231004 is a wasteful number, since it uses less digits than its factorization.

404231004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2334 counting only the distinct ones).

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

The square root of 404231004 is about 20105.4968603116. The cubic root of 404231004 is about 739.3950522195.

Adding to 404231004 its reverse (400132404), we get a palindrome (804363408).

The spelling of 404231004 in words is "four hundred four million, two hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 293 342 586 684 879 1172 1758 2017 2637 3516 4034 5274 5567 6051 8068 10548 11134 12102 16701 18153 22268 24204 33402 36306 38323 50103 66804 72612 76646 100206 114969 153292 200412 229938 344907 459876 590981 689814 1181962 1379628 1772943 2363924 3545886 5318829 7091772 10637658 11228639 21275316 22457278 33685917 44914556 67371834 101057751 134743668 202115502 404231004