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423331020 = 2232571917683
BaseRepresentation
bin11001001110111…
…000010011001100
31002111120102222200
4121032320103030
51331333043040
6110001241500
713330153140
oct3116702314
91074512880
10423331020
111a7a60952
12b9933290
136991cc38
1440319220
1527271630
hex193b84cc

423331020 has 144 divisors (see below), whose sum is σ = 1544874240. Its totient is φ = 91663488.

The previous prime is 423331019. The next prime is 423331043. The reversal of 423331020 is 20133324.

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

It is a junction number, because it is equal to n+sod(n) for n = 423330984 and 423331002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15099 + ... + 32781.

Almost surely, 2423331020 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 423331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772437120).

423331020 is an abundant number, since it is smaller than the sum of its proper divisors (1121543220).

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

423331020 is a wasteful number, since it uses less digits than its factorization.

423331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17724 (or 17719 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 423331020 is about 20575.0095990257. The cubic root of 423331020 is about 750.8618359391.

Adding to 423331020 its reverse (20133324), we get a palindrome (443464344).

It can be divided in two parts, 4233 and 31020, that added together give a palindrome (35253).

The spelling of 423331020 in words is "four hundred twenty-three million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 17683 23940 35366 53049 70732 88415 106098 123781 159147 176830 212196 247562 265245 318294 335977 353660 371343 495124 530490 618905 636588 671954 742686 795735 1007931 1060980 1114029 1237810 1343908 1485372 1591470 1679885 1856715 2015862 2228058 2351839 2475620 3023793 3182940 3359770 3713430 4031724 4456116 4703678 5039655 5570145 6047586 6719540 7055517 7426860 9407356 10079310 11140290 11759195 12095172 14111034 15118965 20158620 21166551 22280580 23518390 28222068 30237930 35277585 42333102 47036780 60475860 70555170 84666204 105832755 141110340 211665510 423331020