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2432024340 = 2235167251967
BaseRepresentation
bin1001000011110101…
…1011111100010100
320021111021122012120
42100331123330110
514440044234330
61041154415540
7114160602654
oct22075337424
96244248176
102432024340
1110388a5979
1257a5915b0
132c9b1c175
14190dd8364
15e379ec10
hex90f5bf14

2432024340 has 96 divisors (see below), whose sum is σ = 6884849664. Its totient is φ = 641424000.

The previous prime is 2432024279. The next prime is 2432024341. The reversal of 2432024340 is 434202342.

It is a self number, because there is not a number n which added to its sum of digits gives 2432024340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432024341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2514537 + ... + 2515503.

It is an arithmetic number, because the mean of its divisors is an integer number (71717184).

Almost surely, 22432024340 is an apocalyptic number.

2432024340 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 2432024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442424832).

2432024340 is an abundant number, since it is smaller than the sum of its proper divisors (4452825324).

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

2432024340 is a wasteful number, since it uses less digits than its factorization.

2432024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2432024340 is about 49315.5588024713. The cubic root of 2432024340 is about 1344.7946490249.

Adding to 2432024340 its reverse (434202342), we get a palindrome (2866226682).

The spelling of 2432024340 in words is "two billion, four hundred thirty-two million, twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 251 334 501 502 668 753 835 967 1002 1004 1255 1506 1670 1934 2004 2505 2510 2901 3012 3340 3765 3868 4835 5010 5020 5802 7530 9670 10020 11604 14505 15060 19340 29010 41917 58020 83834 125751 161489 167668 209585 242717 251502 322978 419170 484467 485434 503004 628755 645956 728151 807445 838340 968934 970868 1213585 1257510 1456302 1614890 1937868 2422335 2427170 2515020 2912604 3229780 3640755 4844670 4854340 7281510 9689340 14563020 40533739 81067478 121601217 162134956 202668695 243202434 405337390 486404868 608006085 810674780 1216012170 2432024340