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2403304020 = 223551338039
BaseRepresentation
bin1000111100111111…
…1000001001010100
320012111020111100000
42033033320021110
514410221212040
61034251051300
7113361514155
oct21717701124
96174214300
102403304020
111023669977
12570a40b30
132c3ba47b0
1418b27d92c
15e0eca130
hex8f3f8254

2403304020 has 144 divisors (see below), whose sum is σ = 8141777280. Its totient is φ = 591566976.

The previous prime is 2403303997. The next prime is 2403304051. The reversal of 2403304020 is 204033042.

2403304020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2403303984 and 2403304002.

It is a congruent number.

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, 44161 + ... + 82199.

It is an arithmetic number, because the mean of its divisors is an integer number (56540120).

Almost surely, 22403304020 is an apocalyptic number.

2403304020 is a gapful number since it is divisible by the number (20) 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 2403304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070888640).

2403304020 is an abundant number, since it is smaller than the sum of its proper divisors (5738473260).

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

2403304020 is a wasteful number, since it uses less digits than its factorization.

2403304020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38076 (or 38062 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2403304020 is about 49023.5047706710. The cubic root of 2403304020 is about 1339.4800128437.

Adding to 2403304020 its reverse (204033042), we get a palindrome (2607337062).

The spelling of 2403304020 in words is "two billion, four hundred three million, three hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 38039 63180 76078 114117 152156 190195 228234 342351 380390 456468 494507 570585 684702 760780 989014 1027053 1141170 1369404 1483521 1711755 1978028 2054106 2282340 2472535 2967042 3081159 3423510 4108212 4450563 4945070 5135265 5934084 6162318 6847020 7417605 8901126 9243477 9890140 10270530 12324636 13351689 14835210 15405795 17802252 18486954 20541060 22252815 26703378 29670420 30811590 36973908 40055067 44505630 46217385 53406756 61623180 66758445 80110134 89011260 92434770 120165201 133516890 160220268 184869540 200275335 240330402 267033780 400550670 480660804 600826005 801101340 1201652010 2403304020