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534387744 = 253211374797
BaseRepresentation
bin11111110110100…
…001110000100000
31101020112201011200
4133312201300200
52043300401434
6125005441200
716146135522
oct3766416040
91336481150
10534387744
11254714470
1212ab70200
1386935287
1450d87a12
1531dac199
hex1fda1c20

534387744 has 288 divisors, whose sum is σ = 1756774656. Its totient is φ = 152616960.

The previous prime is 534387743. The next prime is 534387751. The reversal of 534387744 is 447783435.

534387744 is a `hidden beast` number, since 534 + 3 + 8 + 77 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 534387744.

It is not an unprimeable number, because it can be changed into a prime (534387743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5509104 + ... + 5509200.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2534387744 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 534387744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878387328).

534387744 is an abundant number, since it is smaller than the sum of its proper divisors (1222386912).

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

534387744 is a wasteful number, since it uses less digits than its factorization.

534387744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 534387744 is about 23116.8281561290. The cubic root of 534387744 is about 811.4943424928.

The spelling of 534387744 in words is "five hundred thirty-four million, three hundred eighty-seven thousand, seven hundred forty-four".