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534760704 = 2834173741
BaseRepresentation
bin11111110111111…
…100110100000000
31101021020122210000
4133313330310000
52043344320304
6125021440000
716152251052
oct3767746400
91337218700
10534760704
112549496a5
1212b110000
1386a35c6a
14510438d2
1531e32939
hex1fdfcd00

534760704 has 360 divisors, whose sum is σ = 1776280968. Its totient is φ = 159252480.

The previous prime is 534760693. The next prime is 534760727. The reversal of 534760704 is 407067435.

534760704 is a `hidden beast` number, since 5 + 3 + 47 + 607 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116640000 + 418120704 = 10800^2 + 20448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13042924 + ... + 13042964.

Almost surely, 2534760704 is an apocalyptic number.

534760704 is a gapful number since it is divisible by the number (54) 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 534760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888140484).

534760704 is an abundant number, since it is smaller than the sum of its proper divisors (1241520264).

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

534760704 is a wasteful number, since it uses less digits than its factorization.

534760704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 534760704 is about 23124.8935997552. The cubic root of 534760704 is about 811.6830846879.

The spelling of 534760704 in words is "five hundred thirty-four million, seven hundred sixty thousand, seven hundred four".