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434431404 = 223311365683
BaseRepresentation
bin11001111001001…
…110010110101100
31010021110101212000
4121321032112230
51342203301104
6111035212300
713523414601
oct3171162654
91107411760
10434431404
11203252820
121015a7090
136c008604
14419a86a8
1528215639
hex19e4e5ac

434431404 has 48 divisors (see below), whose sum is σ = 1228698240. Its totient is φ = 131645520.

The previous prime is 434431373. The next prime is 434431433. The reversal of 434431404 is 404134434.

434431404 is a `hidden beast` number, since 4 + 344 + 314 + 0 + 4 = 666.

It is a super-2 number, since 2×4344314042 = 377461289562822432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 181654 + ... + 184029.

It is an arithmetic number, because the mean of its divisors is an integer number (25597880).

Almost surely, 2434431404 is an apocalyptic number.

434431404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

434431404 is an abundant number, since it is smaller than the sum of its proper divisors (794266836).

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

434431404 is a wasteful number, since it uses less digits than its factorization.

434431404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365707 (or 365699 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 434431404 is about 20843.0181115884. The cubic root of 434431404 is about 757.3682076373.

Adding to 434431404 its reverse (404134434), we get a palindrome (838565838).

The spelling of 434431404 in words is "four hundred thirty-four million, four hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 365683 731366 1097049 1462732 2194098 3291147 4022513 4388196 6582294 8045026 9873441 12067539 13164588 16090052 19746882 24135078 36202617 39493764 48270156 72405234 108607851 144810468 217215702 434431404