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534356880 = 243519111657
BaseRepresentation
bin11111110110011…
…010001110010000
31101020111010211120
4133312122032100
52043243410010
6125005042240
716145646531
oct3766321620
91336433746
10534356880
112546a3262
1212ab56380
1386924205
1450d7a688
1531da2e70
hex1fd9a390

534356880 has 80 divisors (see below), whose sum is σ = 1665321984. Its totient is φ = 141736960.

The previous prime is 534356873. The next prime is 534356899. The reversal of 534356880 is 88653435.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40012 + ... + 51668.

Almost surely, 2534356880 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 534356880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832660992).

534356880 is an abundant number, since it is smaller than the sum of its proper divisors (1130965104).

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

534356880 is a wasteful number, since it uses less digits than its factorization.

534356880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11864 (or 11858 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 534356880 is about 23116.1605808577. The cubic root of 534356880 is about 811.4787193528.

The spelling of 534356880 in words is "five hundred thirty-four million, three hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 7640 9168 11460 11657 15280 22920 23314 34971 45840 46628 58285 69942 93256 116570 139884 174855 186512 233140 279768 349710 466280 559536 699420 932560 1398840 2226487 2797680 4452974 6679461 8905948 11132435 13358922 17811896 22264870 26717844 33397305 35623792 44529740 53435688 66794610 89059480 106871376 133589220 178118960 267178440 534356880