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1348310144 = 2767157219
BaseRepresentation
bin101000001011101…
…1001010010000000
310110222002020210202
41100113121102000
510230131411034
6341442544332
745261306236
oct12027312200
93428066722
101348310144
116320a4405
123176680a8
1318645116c
14cb0d8956
157d58447e
hex505d9480

1348310144 has 32 divisors (see below), whose sum is σ = 2726194800. Its totient is φ = 664088832.

The previous prime is 1348310141. The next prime is 1348310149. The reversal of 1348310144 is 4410138431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1348310141) by changing a digit.

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, 70034 + ... + 87185.

Almost surely, 21348310144 is an apocalyptic number.

It is an amenable number.

1348310144 is an abundant number, since it is smaller than the sum of its proper divisors (1377884656).

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

1348310144 is an equidigital number, since it uses as much as digits as its factorization.

1348310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157300 (or 157288 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1348310144 is about 36719.3429135109. The cubic root of 1348310144 is about 1104.7481101764.

Adding to 1348310144 its reverse (4410138431), we get a palindrome (5758448575).

The spelling of 1348310144 in words is "one billion, three hundred forty-eight million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4288 8576 157219 314438 628876 1257752 2515504 5031008 10062016 10533673 20124032 21067346 42134692 84269384 168538768 337077536 674155072 1348310144