Search a number
-
+
534293760 = 283571113139
BaseRepresentation
bin11111110110001…
…010110100000000
31101020100221020210
4133312022310000
52043234400020
6125003434120
716145264520
oct3766126400
91336327223
10534293760
1125465a8a0
1212ab25940
1386901570
1450d61680
1531d8e3e0
hex1fd8ad00

534293760 has 576 divisors, whose sum is σ = 2307594240. Its totient is φ = 101744640.

The previous prime is 534293741. The next prime is 534293783. The reversal of 534293760 is 67392435.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 3843771 + ... + 3843909.

It is an arithmetic number, because the mean of its divisors is an integer number (4006240).

Almost surely, 2534293760 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 534293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153797120).

534293760 is an abundant number, since it is smaller than the sum of its proper divisors (1773300480).

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

534293760 is a wasteful number, since it uses less digits than its factorization.

534293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 534293760 is about 23114.7952619096. The cubic root of 534293760 is about 811.4467665789.

The spelling of 534293760 in words is "five hundred thirty-four million, two hundred ninety-three thousand, seven hundred sixty".