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431428608 = 21032132277
BaseRepresentation
bin11001101101110…
…001010000000000
31010001210211210100
4121231301100000
51340421203413
6110451002400
713456040232
oct3155612000
91101724710
10431428608
11201591776
12100599400
136b4c6900
1441426252
1527d20a73
hex19b71400

431428608 has 198 divisors, whose sum is σ = 1353808014. Its totient is φ = 132268032.

The previous prime is 431428607. The next prime is 431428631. The reversal of 431428608 is 806824134.

431428608 is a `hidden beast` number, since 4 + 3 + 1 + 42 + 8 + 608 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13307904 + 418120704 = 3648^2 + 20448^2 .

It is a super-2 number, since 2×4314286082 = 372261287601635328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431428603) 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 17 ways as a sum of consecutive naturals, for example, 1557366 + ... + 1557642.

Almost surely, 2431428608 is an apocalyptic number.

431428608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676904007).

431428608 is an abundant number, since it is smaller than the sum of its proper divisors (922379406).

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

431428608 is a wasteful number, since it uses less digits than its factorization.

431428608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 431428608 is about 20770.8595874124. The cubic root of 431428608 is about 755.6191917694.

The spelling of 431428608 in words is "four hundred thirty-one million, four hundred twenty-eight thousand, six hundred eight".