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434410668 = 223316072503
BaseRepresentation
bin11001111001001…
…001010010101100
31010021102100102000
4121321021102230
51342202120133
6111034532300
713523300256
oct3171112254
91107370360
10434410668
1120323918a
12101597090
136bccc043
14419a0cd6
152820e413
hex19e494ac

434410668 has 48 divisors (see below), whose sum is σ = 1127400960. Its totient is φ = 144655632.

The previous prime is 434410667. The next prime is 434410721. The reversal of 434410668 is 866014434.

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

It is not an unprimeable number, because it can be changed into a prime (434410667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172305 + ... + 174807.

It is an arithmetic number, because the mean of its divisors is an integer number (23487520).

Almost surely, 2434410668 is an apocalyptic number.

It is an amenable number.

434410668 is an abundant number, since it is smaller than the sum of its proper divisors (692990292).

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

434410668 is a wasteful number, since it uses less digits than its factorization.

434410668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 434410668 is about 20842.5206728937. The cubic root of 434410668 is about 757.3561573750.

The spelling of 434410668 in words is "four hundred thirty-four million, four hundred ten thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1607 2503 3214 4821 5006 6428 7509 9642 10012 14463 15018 19284 22527 28926 30036 43389 45054 57852 67581 86778 90108 135162 173556 270324 4022321 8044642 12066963 16089284 24133926 36200889 48267852 72401778 108602667 144803556 217205334 434410668