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534968280 = 233357211919
BaseRepresentation
bin11111111000101…
…111011111011000
31101021122012112000
4133320233133120
52043422441110
6125030121000
716154104200
oct3770573730
91337565460
10534968280
11254a80650
1212b1b0160
1386aa95a2
1451099400
1531e741c0
hex1fe2f7d8

534968280 has 384 divisors, whose sum is σ = 2265408000. Its totient is φ = 111041280.

The previous prime is 534968261. The next prime is 534968297. The reversal of 534968280 is 82869435.

534968280 is a `hidden beast` number, since 5 + 3 + 496 + 82 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 581661 + ... + 582579.

It is an arithmetic number, because the mean of its divisors is an integer number (5899500).

Almost surely, 2534968280 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 534968280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132704000).

534968280 is an abundant number, since it is smaller than the sum of its proper divisors (1730439720).

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

534968280 is a wasteful number, since it uses less digits than its factorization.

534968280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 534968280 is about 23129.3813146828. The cubic root of 534968280 is about 811.7880937329.

It can be divided in two parts, 53496 and 8280, that added together give a triangular number (61776 = T351).

The spelling of 534968280 in words is "five hundred thirty-four million, nine hundred sixty-eight thousand, two hundred eighty".