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1344944664 = 2332717791987
BaseRepresentation
bin101000000101010…
…0011101000011000
310110201202021020100
41100022203220120
510223301212124
6341242455400
745220561320
oct12012435030
93421667210
101344944664
11630205918
12316504560
1318584335b
14ca8a0280
157d11c1c9
hex502a3a18

1344944664 has 192 divisors, whose sum is σ = 4465843200. Its totient is φ = 356908032.

The previous prime is 1344944663. The next prime is 1344944677. The reversal of 1344944664 is 4664494431.

It is a super-2 number, since 2×13449446642 = 3617752298444145792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344944663) 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 47 ways as a sum of consecutive naturals, for example, 675879 + ... + 677865.

It is an arithmetic number, because the mean of its divisors is an integer number (23259600).

Almost surely, 21344944664 is an apocalyptic number.

1344944664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344944664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232921600).

1344944664 is an abundant number, since it is smaller than the sum of its proper divisors (3120898536).

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

1344944664 is a wasteful number, since it uses less digits than its factorization.

1344944664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2095 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 1344944664 is about 36673.4872080635. The cubic root of 1344944664 is about 1103.8281671757.

The spelling of 1344944664 in words is "one billion, three hundred forty-four million, nine hundred forty-four thousand, six hundred sixty-four".