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320111104 = 29673929
BaseRepresentation
bin10011000101001…
…000001000000000
3211022100022212211
4103011020020000
51123422023404
651433031504
710634620345
oct2305101000
9738308784
10320111104
11154770235
128b255594
135141c971
143072a7cc
151d182b04
hex13148200

320111104 has 40 divisors (see below), whose sum is σ = 641236860. Its totient is φ = 159645696.

The previous prime is 320111101. The next prime is 320111123. The reversal of 320111104 is 401111023.

It can be written as a sum of positive squares in 2 ways, for example, as 268960000 + 51151104 = 16400^2 + 7152^2 .

It is a super-2 number, since 2×3201111042 = 204942237808197632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 344112 + ... + 345040.

Almost surely, 2320111104 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 320111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320618430).

320111104 is an abundant number, since it is smaller than the sum of its proper divisors (321125756).

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

320111104 is an frugal number, since it uses more digits than its factorization.

320111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 320111104 is about 17891.6490016991. The cubic root of 320111104 is about 684.0695299974.

Adding to 320111104 its reverse (401111023), we get a palindrome (721222127).

The spelling of 320111104 in words is "three hundred twenty million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 673 929 1346 1858 2692 3716 5384 7432 10768 14864 21536 29728 43072 59456 86144 118912 172288 237824 344576 475648 625217 1250434 2500868 5001736 10003472 20006944 40013888 80027776 160055552 320111104