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1344764448 = 25324669321
BaseRepresentation
bin101000000100111…
…0111101000100000
310110201102010000200
41100021313220200
510223224430243
6341234545200
745216211026
oct12011675040
93421363020
101344764448
116300a2485
12316438200
131857ac311
14ca854716
157d0d3ad3
hex50277a20

1344764448 has 36 divisors (see below), whose sum is σ = 3824174718. Its totient is φ = 448254720.

The previous prime is 1344764441. The next prime is 1344764467. The reversal of 1344764448 is 8444674431.

It is a happy number.

1344764448 is a `hidden beast` number, since 134 + 4 + 76 + 4 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 710329104 + 634435344 = 26652^2 + 25188^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1344764441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2334373 + ... + 2334948.

Almost surely, 21344764448 is an apocalyptic number.

1344764448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1344764448 is an abundant number, since it is smaller than the sum of its proper divisors (2479410270).

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

1344764448 is a wasteful number, since it uses less digits than its factorization.

1344764448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669337 (or 4669326 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 1344764448 is about 36671.0300918859. The cubic root of 1344764448 is about 1103.7788624501.

The spelling of 1344764448 in words is "one billion, three hundred forty-four million, seven hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4669321 9338642 14007963 18677284 28015926 37354568 42023889 56031852 74709136 84047778 112063704 149418272 168095556 224127408 336191112 448254816 672382224 1344764448