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2021432340 = 22351491731307
BaseRepresentation
bin111100001111100…
…1001110000010100
312012212200101212110
41320133021300110
513114441313330
6532330151020
7101043614514
oct17037116024
95185611773
102021432340
11948056044
12484b82470
13262a3c715
14152677844
15bc6e7db0
hex787c9c14

2021432340 has 96 divisors (see below), whose sum is σ = 5735318400. Its totient is φ = 531928576.

The previous prime is 2021432339. The next prime is 2021432377. The reversal of 2021432340 is 432341202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1545967 + ... + 1547273.

It is an arithmetic number, because the mean of its divisors is an integer number (59742900).

Almost surely, 22021432340 is an apocalyptic number.

2021432340 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 2021432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867659200).

2021432340 is an abundant number, since it is smaller than the sum of its proper divisors (3713886060).

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

2021432340 is a wasteful number, since it uses less digits than its factorization.

2021432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2021432340 is about 44960.3418581309. The cubic root of 2021432340 is about 1264.4055782354.

Adding to 2021432340 its reverse (432341202), we get a palindrome (2453773542).

The spelling of 2021432340 in words is "two billion, twenty-one million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 173 298 346 447 519 596 692 745 865 894 1038 1307 1490 1730 1788 2076 2235 2595 2614 2980 3460 3921 4470 5190 5228 6535 7842 8940 10380 13070 15684 19605 25777 26140 39210 51554 77331 78420 103108 128885 154662 194743 226111 257770 309324 386655 389486 452222 515540 584229 678333 773310 778972 904444 973715 1130555 1168458 1356666 1546620 1947430 2261110 2336916 2713332 2921145 3391665 3894860 4522220 5842290 6783330 11684580 13566660 33690539 67381078 101071617 134762156 168452695 202143234 336905390 404286468 505358085 673810780 1010716170 2021432340