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534493440 = 28325134383
BaseRepresentation
bin11111110110111…
…011100100000000
31101020202002011100
4133312323210000
52043312242230
6125012014400
716150055625
oct3766734400
91336662140
10534493440
11254786918
1212b001400
1386971410
1450db434c
1531dcd660
hex1fdbb900

534493440 has 432 divisors, whose sum is σ = 2062412352. Its totient is φ = 126959616.

The previous prime is 534493439. The next prime is 534493441. The reversal of 534493440 is 44394435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (534493439) and next prime (534493441).

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 = 534493395 and 534493404.

It is not an unprimeable number, because it can be changed into a prime (534493441) 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, 6439639 + ... + 6439721.

Almost surely, 2534493440 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 534493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031206176).

534493440 is an abundant number, since it is smaller than the sum of its proper divisors (1527918912).

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

534493440 is a wasteful number, since it uses less digits than its factorization.

534493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 534493440 is about 23119.1141698812. The cubic root of 534493440 is about 811.5478405085.

The spelling of 534493440 in words is "five hundred thirty-four million, four hundred ninety-three thousand, four hundred forty".