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320034401 = 1729649157
BaseRepresentation
bin10011000100110…
…101011001100001
3211022012102122222
4103010311121201
51123412100101
651431240425
710634150621
oct2304653141
9738172588
10320034401
11154718645
128b219115
13513c3a8b
143070a881
151d16a01b
hex13135661

320034401 has 8 divisors (see below), whose sum is σ = 350545320. Its totient is φ = 290821888.

The previous prime is 320034371. The next prime is 320034413. The reversal of 320034401 is 104430023.

It can be written as a sum of positive squares in 4 ways, for example, as 39438400 + 280596001 = 6280^2 + 16751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-320034401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 320034401.

It is not an unprimeable number, because it can be changed into a prime (320034101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324086 + ... + 325071.

It is an arithmetic number, because the mean of its divisors is an integer number (43818165).

Almost surely, 2320034401 is an apocalyptic number.

It is an amenable number.

320034401 is a deficient number, since it is larger than the sum of its proper divisors (30510919).

320034401 is a wasteful number, since it uses less digits than its factorization.

320034401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649203.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 320034401 is about 17889.5053313388. The cubic root of 320034401 is about 684.0148881601.

Adding to 320034401 its reverse (104430023), we get a palindrome (424464424).

The spelling of 320034401 in words is "three hundred twenty million, thirty-four thousand, four hundred one".

Divisors: 1 17 29 493 649157 11035669 18825553 320034401