Search a number
-
+
534390000 = 2435447379
BaseRepresentation
bin11111110110100…
…010010011110000
31101020112211021020
4133312202103300
52043300440000
6125005455440
716146145224
oct3766422360
91336484236
10534390000
11254716131
1212ab71580
1386936301
1450d88784
1531dacba0
hex1fda24f0

534390000 has 200 divisors, whose sum is σ = 1766434560. Its totient is φ = 139104000.

The previous prime is 534389983. The next prime is 534390071. The reversal of 534390000 is 93435.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1409811 + ... + 1410189.

Almost surely, 2534390000 is an apocalyptic number.

534390000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883217280).

534390000 is an abundant number, since it is smaller than the sum of its proper divisors (1232044560).

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

534390000 is a wasteful number, since it uses less digits than its factorization.

534390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 534390000 is about 23116.8769516992. The cubic root of 534390000 is about 811.4954844405.

The spelling of 534390000 in words is "five hundred thirty-four million, three hundred ninety thousand".