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4343340440 = 2352910934351
BaseRepresentation
bin1000000101110001…
…00001110110011000
3102012200202112222202
410002320201312120
532343343343230
61554552505332
7212426533055
oct40270416630
912180675882
104343340440
11192977aa5a
12a126ab248
13542ab563a
142d2baa02c
151a6495a45
hex102e21d98

4343340440 has 64 divisors (see below), whose sum is σ = 10202544000. Its totient is φ = 1661990400.

The previous prime is 4343340413. The next prime is 4343340451. The reversal of 4343340440 is 440433434.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109265 + ... + 143615.

It is an arithmetic number, because the mean of its divisors is an integer number (159414750).

Almost surely, 24343340440 is an apocalyptic number.

4343340440 is a gapful number since it is divisible by the number (40) 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 4343340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101272000).

4343340440 is an abundant number, since it is smaller than the sum of its proper divisors (5859203560).

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

4343340440 is a wasteful number, since it uses less digits than its factorization.

4343340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34500 (or 34496 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

The square root of 4343340440 is about 65904.0244598158. The cubic root of 4343340440 is about 1631.5784376280.

Adding to 4343340440 its reverse (440433434), we get a palindrome (4783773874).

The spelling of 4343340440 in words is "four billion, three hundred forty-three million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 109 116 145 218 232 290 436 545 580 872 1090 1160 2180 3161 4360 6322 12644 15805 25288 31610 34351 63220 68702 126440 137404 171755 274808 343510 687020 996179 1374040 1992358 3744259 3984716 4980895 7488518 7969432 9961790 14977036 18721295 19923580 29954072 37442590 39847160 74885180 108583511 149770360 217167022 434334044 542917555 868668088 1085835110 2171670220 4343340440