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534431040 = 2635111317229
BaseRepresentation
bin11111110110101…
…100010101000000
31101020121220120020
4133312230111000
52043303243130
6125010413440
716146405663
oct3766542500
91336556506
10534431040
11254743a50
1212ab91280
138694bbb0
1450d996da
1531db9e10
hex1fdac540

534431040 has 448 divisors, whose sum is σ = 2119944960. Its totient is φ = 112066560.

The previous prime is 534431039. The next prime is 534431077. The reversal of 534431040 is 40134435.

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 534431040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333646 + ... + 2333874.

It is an arithmetic number, because the mean of its divisors is an integer number (4732020).

Almost surely, 2534431040 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 534431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059972480).

534431040 is an abundant number, since it is smaller than the sum of its proper divisors (1585513920).

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

534431040 is a wasteful number, since it uses less digits than its factorization.

534431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

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

The square root of 534431040 is about 23117.7645978152. The cubic root of 534431040 is about 811.5162576100.

Adding to 534431040 its reverse (40134435), we get a palindrome (574565475).

The spelling of 534431040 in words is "five hundred thirty-four million, four hundred thirty-one thousand, forty".