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434672144 = 24179151771
BaseRepresentation
bin11001111010001…
…001001000010000
31010021220122002022
4121322021020100
51342234002034
6111044311012
713525436504
oct3172111020
91107818068
10434672144
112033a7685
121016a2468
136c09106a
1441a2c304
1528261b2e
hex19e89210

434672144 has 20 divisors (see below), whose sum is σ = 846887760. Its totient is φ = 216120480.

The previous prime is 434672143. The next prime is 434672159. The reversal of 434672144 is 441276434.

It is a super-3 number, since 3×4346721443 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (434672143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73022 + ... + 78749.

It is an arithmetic number, because the mean of its divisors is an integer number (42344388).

Almost surely, 2434672144 is an apocalyptic number.

It is an amenable number.

434672144 is a deficient number, since it is larger than the sum of its proper divisors (412215616).

434672144 is a wasteful number, since it uses less digits than its factorization.

434672144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151958 (or 151952 counting only the distinct ones).

The product of its digits is 64512, while the sum is 35.

The square root of 434672144 is about 20848.7923870904. The cubic root of 434672144 is about 757.5080802400.

The spelling of 434672144 in words is "four hundred thirty-four million, six hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 179 358 716 1432 2864 151771 303542 607084 1214168 2428336 27167009 54334018 108668036 217336072 434672144