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1330342304 = 25197927697
BaseRepresentation
bin100111101001011…
…0110100110100000
310102201021101120012
41033102312212200
510211031423204
6340001504052
744652502664
oct11722664640
93381241505
101330342304
11622a41955
12311642028
131827cc9c5
14c897c8a4
157bbd576e
hex4f4b69a0

1330342304 has 48 divisors (see below), whose sum is σ = 2791958400. Its totient is φ = 622162944.

The previous prime is 1330342301. The next prime is 1330342309. The reversal of 1330342304 is 4032430331.

It is a self number, because there is not a number n which added to its sum of digits gives 1330342304.

It is not an unprimeable number, because it can be changed into a prime (1330342301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34184 + ... + 61880.

It is an arithmetic number, because the mean of its divisors is an integer number (58165800).

Almost surely, 21330342304 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 1330342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395979200).

1330342304 is an abundant number, since it is smaller than the sum of its proper divisors (1461616096).

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

1330342304 is a wasteful number, since it uses less digits than its factorization.

1330342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27805 (or 27797 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 1330342304 is about 36473.8578162497. The cubic root of 1330342304 is about 1099.8187866776.

Adding to 1330342304 its reverse (4032430331), we get a palindrome (5362772635).

The spelling of 1330342304 in words is "one billion, three hundred thirty million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 79 152 158 304 316 608 632 1264 1501 2528 3002 6004 12008 24016 27697 48032 55394 110788 221576 443152 526243 886304 1052486 2104972 2188063 4209944 4376126 8419888 8752252 16839776 17504504 35009008 41573197 70018016 83146394 166292788 332585576 665171152 1330342304