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1323345312 = 25324594949
BaseRepresentation
bin100111011100000…
…1010010110100000
310102020002220111100
41032320022112200
510202234022222
6335151514400
744536151412
oct11670122640
93366086440
101323345312
11619aa2a13
1230b228a00
1318121cc83
14c7a7a9b2
157b2a24ac
hex4ee0a5a0

1323345312 has 36 divisors (see below), whose sum is σ = 3763264050. Its totient is φ = 441115008.

The previous prime is 1323345311. The next prime is 1323345377. The reversal of 1323345312 is 2135433231.

1323345312 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 345 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 692531856 + 630813456 = 26316^2 + 25116^2 .

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 (1323345311) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2297187 + ... + 2297762.

Almost surely, 21323345312 is an apocalyptic number.

1323345312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1323345312 is an abundant number, since it is smaller than the sum of its proper divisors (2439918738).

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

1323345312 is a wasteful number, since it uses less digits than its factorization.

1323345312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594965 (or 4594954 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 1323345312 is about 36377.8134582055. The cubic root of 1323345312 is about 1097.8872150668.

Adding to 1323345312 its reverse (2135433231), we get a palindrome (3458778543).

The spelling of 1323345312 in words is "one billion, three hundred twenty-three million, three hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4594949 9189898 13784847 18379796 27569694 36759592 41354541 55139388 73519184 82709082 110278776 147038368 165418164 220557552 330836328 441115104 661672656 1323345312