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1344300032 = 2101817253
BaseRepresentation
bin101000000100000…
…0110010000000000
310110200112111222002
41100020012100000
510223120100112
6341221003132
745212235035
oct12010062000
93420474862
101344300032
1162a905569
123162534a8
13185678b0a
14ca77338c
157d0411c2
hex50206400

1344300032 has 44 divisors (see below), whose sum is σ = 2702506716. Its totient is φ = 668344320.

The previous prime is 1344300019. The next prime is 1344300043. The reversal of 1344300032 is 2300034431.

It can be written as a sum of positive squares in 2 ways, for example, as 384787456 + 959512576 = 19616^2 + 30976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1344299977 and 1344300013.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181718 + ... + 188970.

Almost surely, 21344300032 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 1344300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351253358).

1344300032 is an abundant number, since it is smaller than the sum of its proper divisors (1358206684).

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

1344300032 is an equidigital number, since it uses as much as digits as its factorization.

1344300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1344300032 is about 36664.6973531761. The cubic root of 1344300032 is about 1103.6517840395.

Adding to 1344300032 its reverse (2300034431), we get a palindrome (3644334463).

The spelling of 1344300032 in words is "one billion, three hundred forty-four million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 512 724 1024 1448 2896 5792 7253 11584 14506 23168 29012 46336 58024 92672 116048 185344 232096 464192 928384 1312793 1856768 2625586 3713536 5251172 7427072 10502344 21004688 42009376 84018752 168037504 336075008 672150016 1344300032