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434134040 = 23519571229
BaseRepresentation
bin11001111000000…
…101110000011000
31010020220021221112
4121320011300120
51342114242130
6111024555452
713521035624
oct3170056030
91106807845
10434134040
1120306a36a
12101482b88
136bc33162
144192c184
15281a7495
hex19e05c18

434134040 has 32 divisors (see below), whose sum is σ = 1028214000. Its totient is φ = 164513664.

The previous prime is 434134003. The next prime is 434134069. The reversal of 434134040 is 40431434.

It is a junction number, because it is equal to n+sod(n) for n = 434133997 and 434134015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284855 + ... + 286374.

Almost surely, 2434134040 is an apocalyptic number.

434134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434134040 is an abundant number, since it is smaller than the sum of its proper divisors (594079960).

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

434134040 is a wasteful number, since it uses less digits than its factorization.

434134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571259 (or 571255 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 434134040 is about 20835.8834705899. The cubic root of 434134040 is about 757.1953645119.

Adding to 434134040 its reverse (40431434), we get a palindrome (474565474).

The spelling of 434134040 in words is "four hundred thirty-four million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 571229 1142458 2284916 2856145 4569832 5712290 10853351 11424580 21706702 22849160 43413404 54266755 86826808 108533510 217067020 434134040