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534031440 = 243510122031
BaseRepresentation
bin11111110101001…
…010110001010000
31101012212121102020
4133311022301100
52043203001230
6124554051440
716143122655
oct3765126120
91335777366
10534031440
112544a07a8
1212aa19b80
138683c047
1450cd3c2c
1531d3b810
hex1fd4ac50

534031440 has 80 divisors (see below), whose sum is σ = 1671964416. Its totient is φ = 140992000.

The previous prime is 534031429. The next prime is 534031441. The reversal of 534031440 is 44130435.

It is a tau number, because it is divible by the number of its divisors (80).

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 534031440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534031441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13225 + ... + 35255.

Almost surely, 2534031440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835982208).

534031440 is an abundant number, since it is smaller than the sum of its proper divisors (1137932976).

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

534031440 is a wasteful number, since it uses less digits than its factorization.

534031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22148 (or 22142 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 534031440 is about 23109.1202775008. The cubic root of 534031440 is about 811.3139472844.

Adding to 534031440 its reverse (44130435), we get a palindrome (578161875).

The spelling of 534031440 in words is "five hundred thirty-four million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 22031 24240 44062 66093 88124 110155 132186 176248 220310 264372 330465 352496 440620 528744 660930 881240 1057488 1321860 1762480 2225131 2643720 4450262 5287440 6675393 8900524 11125655 13350786 17801048 22251310 26701572 33376965 35602096 44502620 53403144 66753930 89005240 106806288 133507860 178010480 267015720 534031440