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1304798112 = 25331579619
BaseRepresentation
bin100110111000101…
…1010001110100000
310100221012121112000
41031301122032200
510133012014422
6333250204000
744222413062
oct11561321640
93327177460
101304798112
1160a585152
12304b83600
1317a427bb7
14c540d732
157983bcac
hex4dc5a3a0

1304798112 has 96 divisors (see below), whose sum is σ = 3830299200. Its totient is φ = 432117504.

The previous prime is 1304798087. The next prime is 1304798123. The reversal of 1304798112 is 2118974031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13047981122 = 3404996226157529088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130839 + ... + 140457.

It is an arithmetic number, because the mean of its divisors is an integer number (39898950).

Almost surely, 21304798112 is an apocalyptic number.

1304798112 is a gapful number since it is divisible by the number (12) 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 1304798112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915149600).

1304798112 is an abundant number, since it is smaller than the sum of its proper divisors (2525501088).

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

1304798112 is a wasteful number, since it uses less digits than its factorization.

1304798112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9795 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1304798112 is about 36121.9893139899. The cubic root of 1304798112 is about 1092.7339589392.

The spelling of 1304798112 in words is "one billion, three hundred four million, seven hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 157 216 288 314 432 471 628 864 942 1256 1413 1884 2512 2826 3768 4239 5024 5652 7536 8478 9619 11304 15072 16956 19238 22608 28857 33912 38476 45216 57714 67824 76952 86571 115428 135648 153904 173142 230856 259713 307808 346284 461712 519426 692568 923424 1038852 1385136 1510183 2077704 2770272 3020366 4155408 4530549 6040732 8310816 9061098 12081464 13591647 18122196 24162928 27183294 36244392 40774941 48325856 54366588 72488784 81549882 108733176 144977568 163099764 217466352 326199528 434932704 652399056 1304798112