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1004440230 = 233529163787
BaseRepresentation
bin111011110111101…
…000101010100110
32121000000211222000
4323313220222212
54024114041410
6243400350130
733614413113
oct7367505246
92530024860
101004440230
11475a868a2
12240475346
13130133241
149758590a
155d2abdc0
hex3bde8aa6

1004440230 has 128 divisors (see below), whose sum is σ = 2791411200. Its totient is φ = 256701312.

The previous prime is 1004440219. The next prime is 1004440231. The reversal of 1004440230 is 320444001.

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 (1004440231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1275897 + ... + 1276683.

It is an arithmetic number, because the mean of its divisors is an integer number (21807900).

Almost surely, 21004440230 is an apocalyptic number.

1004440230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004440230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395705600).

1004440230 is an abundant number, since it is smaller than the sum of its proper divisors (1786970970).

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

1004440230 is a wasteful number, since it uses less digits than its factorization.

1004440230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

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

The square root of 1004440230 is about 31692.9050419806. The cubic root of 1004440230 is about 1001.4778914276.

Adding to 1004440230 its reverse (320444001), we get a palindrome (1324884231).

The spelling of 1004440230 in words is "one billion, four million, four hundred forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 163 174 261 270 290 326 435 489 522 783 787 815 870 978 1305 1467 1566 1574 1630 2361 2445 2610 2934 3915 3935 4401 4722 4727 4890 7083 7335 7830 7870 8802 9454 11805 14166 14181 14670 21249 22005 22823 23610 23635 28362 35415 42498 42543 44010 45646 47270 68469 70830 70905 85086 106245 114115 127629 128281 136938 141810 205407 212490 212715 228230 255258 256562 342345 384843 410814 425430 616221 638145 641405 684690 769686 1027035 1154529 1232442 1276290 1282810 1924215 2054070 2309058 3081105 3463587 3720149 3848430 5772645 6162210 6927174 7440298 11160447 11545290 17317935 18600745 22320894 33481341 34635870 37201490 55802235 66962682 100444023 111604470 167406705 200888046 334813410 502220115 1004440230