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434666857 = 19234721163
BaseRepresentation
bin11001111010000…
…111110101101001
31010021220100211111
4121322013311221
51342233314412
6111044230321
713525415212
oct3172076551
91107810744
10434666857
112033a3709
1210169b3a1
136c08b831
1441a2a409
15282602a7
hex19e87d69

434666857 has 16 divisors (see below), whose sum is σ = 487618560. Its totient is φ = 385486992.

The previous prime is 434666851. The next prime is 434666873. The reversal of 434666857 is 758666434.

It is not a de Polignac number, because 434666857 - 227 = 300449129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 434666857.

It is not an unprimeable number, because it can be changed into a prime (434666851) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9958 + ... + 31120.

It is an arithmetic number, because the mean of its divisors is an integer number (30476160).

Almost surely, 2434666857 is an apocalyptic number.

434666857 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

434666857 is a deficient number, since it is larger than the sum of its proper divisors (52951703).

434666857 is a wasteful number, since it uses less digits than its factorization.

434666857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21252.

The product of its digits is 2903040, while the sum is 49.

The square root of 434666857 is about 20848.6655927903. The cubic root of 434666857 is about 757.5050089892.

The spelling of 434666857 in words is "four hundred thirty-four million, six hundred sixty-six thousand, eight hundred fifty-seven".

Divisors: 1 19 23 47 437 893 1081 20539 21163 402097 486749 994661 9248231 18898559 22877203 434666857