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430806768 = 24371282163
BaseRepresentation
bin11001101011011…
…001011011110000
31010000122020210020
4121223121123300
51340241304033
6110425403440
713450540260
oct3153313360
91100566706
10430806768
112011a7557
12100339580
136b339862
14413037a0
1527c4b6b3
hex19ad96f0

430806768 has 40 divisors (see below), whose sum is σ = 1271906688. Its totient is φ = 123087552.

The previous prime is 430806763. The next prime is 430806781. The reversal of 430806768 is 867608034.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430806763) 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, 640746 + ... + 641417.

Almost surely, 2430806768 is an apocalyptic number.

430806768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

430806768 is an abundant number, since it is smaller than the sum of its proper divisors (841099920).

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

430806768 is a wasteful number, since it uses less digits than its factorization.

430806768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282181 (or 1282175 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 430806768 is about 20755.8851413280. The cubic root of 430806768 is about 755.2559797481.

The spelling of 430806768 in words is "four hundred thirty million, eight hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1282163 2564326 3846489 5128652 7692978 8975141 10257304 15385956 17950282 20514608 26925423 30771912 35900564 53850846 61543824 71801128 107701692 143602256 215403384 430806768