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4334253440 = 27511615661
BaseRepresentation
bin1000000100101011…
…10111010110000000
3102012001122212222012
410002111313112000
532334032102230
61554030032052
7212256355256
oct40225672600
912161585865
104334253440
111924633840
12a0b648628
13540c5350a
142d18c25d6
151a579d395
hex102577580

4334253440 has 64 divisors (see below), whose sum is σ = 11303554320. Its totient is φ = 1576089600.

The previous prime is 4334253439. The next prime is 4334253461. The reversal of 4334253440 is 443524334.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4334253397 and 4334253406.

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 7 ways as a sum of consecutive naturals, for example, 300791 + ... + 314870.

Almost surely, 24334253440 is an apocalyptic number.

4334253440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4334253440 is an abundant number, since it is smaller than the sum of its proper divisors (6969300880).

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

4334253440 is a wasteful number, since it uses less digits than its factorization.

4334253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615691 (or 615679 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

The square root of 4334253440 is about 65835.0472013198. The cubic root of 4334253440 is about 1630.4397975187.

Adding to 4334253440 its reverse (443524334), we get a palindrome (4777777774).

The spelling of 4334253440 in words is "four billion, three hundred thirty-four million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 615661 1231322 2462644 3078305 4925288 6156610 6772271 9850576 12313220 13544542 19701152 24626440 27089084 33861355 39402304 49252880 54178168 67722710 78804608 98505760 108356336 135445420 197011520 216712672 270890840 394023040 433425344 541781680 866850688 1083563360 2167126720 4334253440