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1334160128 = 2875211429
BaseRepresentation
bin100111110000101…
…1010101100000000
310102222110100122002
41033201122230000
510213021111003
6340215403132
745030113450
oct11741325400
93388410562
101334160128
1162510a284
123129834a8
13183538682
14c9293d60
157c1dba88
hex4f85ab00

1334160128 has 72 divisors (see below), whose sum is σ = 3051528480. Its totient is φ = 570286080.

The previous prime is 1334160089. The next prime is 1334160143. The reversal of 1334160128 is 8210614331.

It is a self number, because there is not a number n which added to its sum of digits gives 1334160128.

It is an unprimeable number.

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, 932918 + ... + 934346.

It is an arithmetic number, because the mean of its divisors is an integer number (42382340).

Almost surely, 21334160128 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 1334160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525764240).

1334160128 is an abundant number, since it is smaller than the sum of its proper divisors (1717368352).

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

1334160128 is an equidigital number, since it uses as much as digits as its factorization.

1334160128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1334160128 is about 36526.1567647077. The cubic root of 1334160128 is about 1100.8698706101.

Adding to 1334160128 its reverse (8210614331), we get a palindrome (9544774459).

The spelling of 1334160128 in words is "one billion, three hundred thirty-four million, one hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 521 896 1042 1429 1792 2084 2858 3647 4168 5716 7294 8336 10003 11432 14588 16672 20006 22864 29176 33344 40012 45728 58352 66688 80024 91456 116704 133376 160048 182912 233408 320096 365824 466816 640192 744509 933632 1280384 1489018 2560768 2978036 5211563 5956072 10423126 11912144 20846252 23824288 41692504 47648576 83385008 95297152 166770016 190594304 333540032 667080064 1334160128