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2000423340 = 2232514974587
BaseRepresentation
bin111011100111100…
…0000100110101100
312011102011000221100
41313033000212230
513044102021330
6530300003100
7100400214006
oct16717004654
95142130840
102000423340
11937206733
12479b30490
1325b594c66
1414d969376
15ba948060
hex773c09ac

2000423340 has 72 divisors (see below), whose sum is σ = 6108757200. Its totient is φ = 529858944.

The previous prime is 2000423329. The next prime is 2000423351. The reversal of 2000423340 is 433240002.

2000423340 is a `hidden beast` number, since 200 + 0 + 423 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2000423329) and next prime (2000423351).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10474 + ... + 64113.

It is an arithmetic number, because the mean of its divisors is an integer number (84843850).

Almost surely, 22000423340 is an apocalyptic number.

2000423340 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 2000423340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054378600).

2000423340 is an abundant number, since it is smaller than the sum of its proper divisors (4108333860).

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

2000423340 is a wasteful number, since it uses less digits than its factorization.

2000423340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74751 (or 74746 counting only the distinct ones).

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

The square root of 2000423340 is about 44726.0923846472. The cubic root of 2000423340 is about 1260.0099394530.

Adding to 2000423340 its reverse (433240002), we get a palindrome (2433663342).

The spelling of 2000423340 in words is "two billion, four hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1341 1490 1788 2235 2682 2980 4470 5364 6705 8940 13410 26820 74587 149174 223761 298348 372935 447522 671283 745870 895044 1118805 1342566 1491740 2237610 2685132 3356415 4475220 6712830 11113463 13425660 22226926 33340389 44453852 55567315 66680778 100021167 111134630 133361556 166701945 200042334 222269260 333403890 400084668 500105835 666807780 1000211670 2000423340