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434672128 = 2911113683
BaseRepresentation
bin11001111010001…
…001001000000000
31010021220122001201
4121322021020000
51342234002003
6111044310544
713525436452
oct3172111000
91107818051
10434672128
112033a7670
121016a2454
136c091057
1441a2c2d2
1528261b1d
hex19e89200

434672128 has 80 divisors (see below), whose sum is σ = 957233376. Its totient is φ = 195543040.

The previous prime is 434672113. The next prime is 434672129. The reversal of 434672128 is 821276434.

It is not an unprimeable number, because it can be changed into a prime (434672129) 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, 636075 + ... + 636757.

Almost surely, 2434672128 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 434672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478616688).

434672128 is an abundant number, since it is smaller than the sum of its proper divisors (522561248).

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

434672128 is a wasteful number, since it uses less digits than its factorization.

434672128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 809 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 434672128 is about 20848.7920033752. The cubic root of 434672128 is about 757.5080709455.

The spelling of 434672128 in words is "four hundred thirty-four million, six hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 128 176 226 256 352 452 512 683 704 904 1243 1366 1408 1808 2486 2732 2816 3616 4972 5464 5632 7232 7513 9944 10928 14464 15026 19888 21856 28928 30052 39776 43712 57856 60104 77179 79552 87424 120208 154358 159104 174848 240416 308716 318208 349696 480832 617432 636416 848969 961664 1234864 1697938 1923328 2469728 3395876 3846656 4939456 6791752 9878912 13583504 19757824 27167008 39515648 54334016 108668032 217336064 434672128