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1300334928 = 243316713043
BaseRepresentation
bin100110110000001…
…1000100101010000
310100121210212011220
41031200120211100
510130341204203
6333010405040
744136443634
oct11540304520
93317725156
101300334928
11608006972
12303590780
13179524569
14c49aadc4
1579259653
hex4d818950

1300334928 has 80 divisors (see below), whose sum is σ = 3519584256. Its totient is φ = 413170560.

The previous prime is 1300334891. The next prime is 1300334953. The reversal of 1300334928 is 8294330031.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93175 + ... + 106217.

Almost surely, 21300334928 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 1300334928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759792128).

1300334928 is an abundant number, since it is smaller than the sum of its proper divisors (2219249328).

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

1300334928 is a wasteful number, since it uses less digits than its factorization.

1300334928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 13146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1300334928 is about 36060.1570712053. The cubic root of 1300334928 is about 1091.4866027144.

Adding to 1300334928 its reverse (8294330031), we get a palindrome (9594664959).

The spelling of 1300334928 in words is "one billion, three hundred million, three hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 67 93 124 134 186 201 248 268 372 402 496 536 744 804 1072 1488 1608 2077 3216 4154 6231 8308 12462 13043 16616 24924 26086 33232 39129 49848 52172 78258 99696 104344 156516 208688 313032 404333 626064 808666 873881 1212999 1617332 1747762 2425998 2621643 3234664 3495524 4851996 5243286 6469328 6991048 9703992 10486572 13982096 19407984 20973144 27090311 41946288 54180622 81270933 108361244 162541866 216722488 325083732 433444976 650167464 1300334928