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643311420 = 2235831011279
BaseRepresentation
bin100110010110000…
…010011100111100
31122211111121100220
4212112002130330
52304141431140
6143500221340
721641025333
oct4626023474
91584447326
10643311420
11300150434
1215b53a850
13a338175b
146161cd1a
153b725bd0
hex2658273c

643311420 has 96 divisors (see below), whose sum is σ = 1842462720. Its totient is φ = 167673600.

The previous prime is 643311407. The next prime is 643311463. The reversal of 643311420 is 24113346.

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, 502341 + ... + 503619.

It is an arithmetic number, because the mean of its divisors is an integer number (19192320).

Almost surely, 2643311420 is an apocalyptic number.

643311420 is a gapful number since it is divisible by the number (60) 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 643311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921231360).

643311420 is an abundant number, since it is smaller than the sum of its proper divisors (1199151300).

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

643311420 is a wasteful number, since it uses less digits than its factorization.

643311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 643311420 is about 25363.5845258512. The cubic root of 643311420 is about 863.2576195467.

Adding to 643311420 its reverse (24113346), we get a palindrome (667424766).

The spelling of 643311420 in words is "six hundred forty-three million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 101 166 202 249 303 332 404 415 498 505 606 830 996 1010 1212 1245 1279 1515 1660 2020 2490 2558 3030 3837 4980 5116 6060 6395 7674 8383 12790 15348 16766 19185 25149 25580 33532 38370 41915 50298 76740 83830 100596 106157 125745 129179 167660 212314 251490 258358 318471 387537 424628 502980 516716 530785 636942 645895 775074 1061570 1273884 1291790 1550148 1592355 1937685 2123140 2583580 3184710 3875370 6369420 7750740 10721857 21443714 32165571 42887428 53609285 64331142 107218570 128662284 160827855 214437140 321655710 643311420