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4340320440 = 233541986323
BaseRepresentation
bin1000000101011010…
…00000100010111000
3102012111002010022220
410002231000202320
532342110223230
61554404044040
7212362054311
oct40255004270
912174063286
104340320440
111927aa7a95
12a11693620
13542298b61
142d2621608
151a609ad10
hex102b408b8

4340320440 has 64 divisors (see below), whose sum is σ = 13052188800. Its totient is φ = 1154643072.

The previous prime is 4340320403. The next prime is 4340320459. The reversal of 4340320440 is 440230434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4340320440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7119 + ... + 93441.

It is an arithmetic number, because the mean of its divisors is an integer number (203940450).

Almost surely, 24340320440 is an apocalyptic number.

4340320440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4340320440 is an abundant number, since it is smaller than the sum of its proper divisors (8711868360).

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

4340320440 is a wasteful number, since it uses less digits than its factorization.

4340320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86756 (or 86752 counting only the distinct ones).

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

The square root of 4340320440 is about 65881.1083695470. The cubic root of 4340320440 is about 1631.2001950120.

Adding to 4340320440 its reverse (440230434), we get a palindrome (4780550874).

The spelling of 4340320440 in words is "four billion, three hundred forty million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 419 838 1257 1676 2095 2514 3352 4190 5028 6285 8380 10056 12570 16760 25140 50280 86323 172646 258969 345292 431615 517938 690584 863230 1035876 1294845 1726460 2071752 2589690 3452920 5179380 10358760 36169337 72338674 108508011 144677348 180846685 217016022 289354696 361693370 434032044 542540055 723386740 868064088 1085080110 1446773480 2170160220 4340320440