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534240256 = 21011431103
BaseRepresentation
bin11111110101111…
…101110000000000
31101020021012212011
4133311331300000
52043231142011
6125002342304
716144652524
oct3765756000
91336235764
10534240256
11254623680
1212aaba994
13868b30c4
1450d49d84
1531d7d621
hex1fd7dc00

534240256 has 88 divisors (see below), whose sum is σ = 1193220864. Its totient is φ = 236974080.

The previous prime is 534240253. The next prime is 534240263. The reversal of 534240256 is 652042435.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×5342402562 = 570825302261891072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534240253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483801 + ... + 484903.

It is an arithmetic number, because the mean of its divisors is an integer number (13559328).

Almost surely, 2534240256 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 534240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596610432).

534240256 is an abundant number, since it is smaller than the sum of its proper divisors (658980608).

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

534240256 is a wasteful number, since it uses less digits than its factorization.

534240256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 534240256 is about 23113.6378789666. The cubic root of 534240256 is about 811.4196796713.

The spelling of 534240256 in words is "five hundred thirty-four million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 256 344 352 473 512 688 704 946 1024 1103 1376 1408 1892 2206 2752 2816 3784 4412 5504 5632 7568 8824 11008 11264 12133 15136 17648 22016 24266 30272 35296 44032 47429 48532 60544 70592 94858 97064 121088 141184 189716 194128 242176 282368 379432 388256 484352 521719 564736 758864 776512 1043438 1129472 1517728 1553024 2086876 3035456 3106048 4173752 6070912 6212096 8347504 12141824 12424192 16695008 24283648 33390016 48567296 66780032 133560064 267120128 534240256