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2432341340 = 22511131575417
BaseRepresentation
bin1001000011111010…
…1001010101011100
320021111212202001022
42100332221111130
514440134410330
61041205303312
7114163363112
oct22076512534
96244782038
102432341340
111038aa2060
1257a704b38
132c9c00540
1419107bab2
15e3813ae5
hex90fa955c

2432341340 has 96 divisors (see below), whose sum is σ = 6040246464. Its totient is φ = 811100160.

The previous prime is 2432341337. The next prime is 2432341343. The reversal of 2432341340 is 431432342.

2432341340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2432341337) and next prime (2432341343).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432341343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446312 + ... + 451728.

It is an arithmetic number, because the mean of its divisors is an integer number (62919234).

Almost surely, 22432341340 is an apocalyptic number.

2432341340 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 2432341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020123232).

2432341340 is an abundant number, since it is smaller than the sum of its proper divisors (3607905124).

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

2432341340 is a wasteful number, since it uses less digits than its factorization.

2432341340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5605 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2432341340 is about 49318.7726935697. The cubic root of 2432341340 is about 1344.8530751648.

Adding to 2432341340 its reverse (431432342), we get a palindrome (2863773682).

The spelling of 2432341340 in words is "two billion, four hundred thirty-two million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 157 220 260 286 314 572 628 715 785 1430 1570 1727 2041 2860 3140 3454 4082 5417 6908 8164 8635 10205 10834 17270 20410 21668 22451 27085 34540 40820 44902 54170 59587 70421 89804 108340 112255 119174 140842 224510 238348 281684 297935 352105 449020 595870 704210 774631 850469 1191740 1408420 1549262 1700938 3098524 3401876 3873155 4252345 7746310 8504690 9355159 11056097 15492620 17009380 18710318 22112194 37420636 44224388 46775795 55280485 93551590 110560970 121617067 187103180 221121940 243234134 486468268 608085335 1216170670 2432341340