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1302344064 = 27327295569
BaseRepresentation
bin100110110100000…
…0011000110000000
310100202120221012100
41031220003012000
510131400002224
6333121430400
744162512320
oct11550030600
93322527170
101302344064
1160915940a
1230419b400
13179a78bb8
14c4d71280
1579504ac9
hex4da03180

1302344064 has 192 divisors, whose sum is σ = 4431492000. Its totient is φ = 359202816.

The previous prime is 1302344063. The next prime is 1302344081. The reversal of 1302344064 is 4604432031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13023440642 = 3392200122072072192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302344063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231072 + ... + 236640.

Almost surely, 21302344064 is an apocalyptic number.

1302344064 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 1302344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215746000).

1302344064 is an abundant number, since it is smaller than the sum of its proper divisors (3129147936).

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

1302344064 is a wasteful number, since it uses less digits than its factorization.

1302344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1302344064 is about 36088.0044336065. The cubic root of 1302344064 is about 1092.0484622054.

Adding to 1302344064 its reverse (4604432031), we get a palindrome (5906776095).

The spelling of 1302344064 in words is "one billion, three hundred two million, three hundred forty-four thousand, sixty-four".