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434694540 = 223571924761
BaseRepresentation
bin11001111010001…
…110100110001100
31010021221202210210
4121322032212030
51342240211130
6111045002420
713525562010
oct3172164614
91107852723
10434694540
11203412495
121016b3410
136c09b307
1441a36540
15282685b0
hex19e8e98c

434694540 has 288 divisors, whose sum is σ = 1523902464. Its totient is φ = 90616320.

The previous prime is 434694529. The next prime is 434694541. The reversal of 434694540 is 45496434.

It is not an unprimeable number, because it can be changed into a prime (434694541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7126110 + ... + 7126170.

It is an arithmetic number, because the mean of its divisors is an integer number (5291328).

Almost surely, 2434694540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434694540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761951232).

434694540 is an abundant number, since it is smaller than the sum of its proper divisors (1089207924).

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

434694540 is a wasteful number, since it uses less digits than its factorization.

434694540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 434694540 is about 20849.3294856214. The cubic root of 434694540 is about 757.5210899377.

The spelling of 434694540 in words is "four hundred thirty-four million, six hundred ninety-four thousand, five hundred forty".