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320053416 = 23313335559
BaseRepresentation
bin10011000100111…
…010000010101000
3211022020101202020
4103010322002220
51123413202131
651431504440
710634260224
oct2304720250
9738211666
10320053416
11154730961
128b228120
13513cc627
1430713784
151d170996
hex1313a0a8

320053416 has 16 divisors (see below), whose sum is σ = 800133600. Its totient is φ = 106684464.

The previous prime is 320053381. The next prime is 320053453. The reversal of 320053416 is 614350023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 13335559 = 320053416 / (3 + 2 + 0 + 0 + 5 + 3 + 4 + 1 + 6).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6667756 + ... + 6667803.

It is an arithmetic number, because the mean of its divisors is an integer number (50008350).

Almost surely, 2320053416 is an apocalyptic number.

It is an amenable number.

320053416 is an abundant number, since it is smaller than the sum of its proper divisors (480080184).

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

320053416 is a wasteful number, since it uses less digits than its factorization.

320053416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335568 (or 13335564 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 320053416 is about 17890.0367802864. The cubic root of 320053416 is about 684.0284349179.

It can be divided in two parts, 3200 and 53416, that added together give a triangular number (56616 = T336).

The spelling of 320053416 in words is "three hundred twenty million, fifty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 13335559 26671118 40006677 53342236 80013354 106684472 160026708 320053416