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534942000 = 243253113263
BaseRepresentation
bin11111111000101…
…001000100110000
31101021120212110200
4133320221010300
52043421121000
6125025355200
716153634445
oct3770510460
91337525420
10534942000
11254a6292a
1212b198b00
1386a9a638
145108d9cc
1531e6b500
hex1fe29130

534942000 has 240 divisors, whose sum is σ = 1892075328. Its totient is φ = 140851200.

The previous prime is 534941987. The next prime is 534942011. The reversal of 534942000 is 249435.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2033869 + ... + 2034131.

Almost surely, 2534942000 is an apocalyptic number.

534942000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946037664).

534942000 is an abundant number, since it is smaller than the sum of its proper divisors (1357133328).

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

534942000 is a wasteful number, since it uses less digits than its factorization.

534942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 534942000 is about 23128.8131991246. The cubic root of 534942000 is about 811.7748006454.

The spelling of 534942000 in words is "five hundred thirty-four million, nine hundred forty-two thousand".