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1304420112 = 2436111833
BaseRepresentation
bin100110110111111…
…1101111100010000
310100220111102000000
41031233331330100
510132412420422
6333234130000
744216250042
oct11557757420
93326442000
101304420112
1160a347156
12304a20900
1317a324b28
14c5351a92
15797b4cac
hex4dbfdf10

1304420112 has 70 divisors (see below), whose sum is σ = 3789271422. Its totient is φ = 434802816.

The previous prime is 1304420111. The next prime is 1304420123. The reversal of 1304420112 is 2110244031.

1304420112 is a `hidden beast` number, since 130 + 4 + 420 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 994519296 + 309900816 = 31536^2 + 17604^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304420111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 44253 + ... + 67580.

Almost surely, 21304420112 is an apocalyptic number.

1304420112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1304420112 is an abundant number, since it is smaller than the sum of its proper divisors (2484851310).

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

1304420112 is an equidigital number, since it uses as much as digits as its factorization.

1304420112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111859 (or 111838 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1304420112 is about 36116.7566650163. The cubic root of 1304420112 is about 1092.6284270754.

Adding to 1304420112 its reverse (2110244031), we get a palindrome (3414664143).

The spelling of 1304420112 in words is "one billion, three hundred four million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 111833 223666 335499 447332 670998 894664 1006497 1341996 1789328 2012994 2683992 3019491 4025988 5367984 6038982 8051976 9058473 12077964 16103952 18116946 24155928 27175419 36233892 48311856 54350838 72467784 81526257 108701676 144935568 163052514 217403352 326105028 434806704 652210056 1304420112