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2030323320 = 2337523209
BaseRepresentation
bin111100100000100…
…0100011001111000
312020111102010000000
41321001010121320
513124230321240
6533244513000
7101212314654
oct17101043170
95214363000
102030323320
11952078a63
12487b4b760
1326483355c
1415390da64
15bd3a2430
hex79044678

2030323320 has 128 divisors (see below), whose sum is σ = 6851592000. Its totient is φ = 541396224.

The previous prime is 2030323307. The next prime is 2030323333. The reversal of 2030323320 is 233230302.

2030323320 is a `hidden beast` number, since 20 + 3 + 0 + 323 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2030323307) and next prime (2030323333).

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 = 2030323293 and 2030323302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75876 + ... + 99084.

Almost surely, 22030323320 is an apocalyptic number.

2030323320 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 2030323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425796000).

2030323320 is an abundant number, since it is smaller than the sum of its proper divisors (4821268680).

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

2030323320 is an equidigital number, since it uses as much as digits as its factorization.

2030323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23241 (or 23219 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 2030323320 is about 45059.1091789441. The cubic root of 2030323320 is about 1266.2566358280.

Adding to 2030323320 its reverse (233230302), we get a palindrome (2263553622).

The spelling of 2030323320 in words is "two billion, thirty million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2187 2430 2916 3240 3645 4374 4860 5832 7290 8748 9720 10935 14580 17496 21870 23209 29160 43740 46418 69627 87480 92836 116045 139254 185672 208881 232090 278508 348135 417762 464180 557016 626643 696270 835524 928360 1044405 1253286 1392540 1671048 1879929 2088810 2506572 2785080 3133215 3759858 4177620 5013144 5639787 6266430 7519716 8355240 9399645 11279574 12532860 15039432 16919361 18799290 22559148 25065720 28198935 33838722 37598580 45118296 50758083 56397870 67677444 75197160 84596805 101516166 112795740 135354888 169193610 203032332 225591480 253790415 338387220 406064664 507580830 676774440 1015161660 2030323320