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534095640 = 2333513109349
BaseRepresentation
bin11111110101011…
…010011100011000
31101012222212111000
4133311122130120
52043212030030
6124555305000
716143511101
oct3765323430
91335885430
10534095640
11254534a61
1212aa4b160
1386862330
1450d0d3a8
1531d50860
hex1fd5a718

534095640 has 256 divisors, whose sum is σ = 1940400000. Its totient is φ = 129890304.

The previous prime is 534095633. The next prime is 534095641. The reversal of 534095640 is 46590435.

It is a happy number.

534095640 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 9 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 534095595 and 534095604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534095641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1530186 + ... + 1530534.

Almost surely, 2534095640 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 534095640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970200000).

534095640 is an abundant number, since it is smaller than the sum of its proper divisors (1406304360).

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

534095640 is a wasteful number, since it uses less digits than its factorization.

534095640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 534095640 is about 23110.5092977199. The cubic root of 534095640 is about 811.3464573980.

It can be divided in two parts, 53409 and 5640, that added together give a 10-th power (59049 = 310).

The spelling of 534095640 in words is "five hundred thirty-four million, ninety-five thousand, six hundred forty".