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1304103114 = 232192972069
BaseRepresentation
bin100110110111011…
…0000100011001010
310100212220022011100
41031232300203022
510132322244424
6333223242230
744213456616
oct11556604312
93325808140
101304103114
1160a14aa76
123048a9376
1317a243762
14c52ac346
1579750dc9
hex4dbb08ca

1304103114 has 72 divisors (see below), whose sum is σ = 3014296740. Its totient is φ = 407379456.

The previous prime is 1304103061. The next prime is 1304103149. The reversal of 1304103114 is 4113014031.

It can be written as a sum of positive squares in 2 ways, for example, as 1244890089 + 59213025 = 35283^2 + 7695^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 629272 + ... + 631340.

Almost surely, 21304103114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304103114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507148370).

1304103114 is an abundant number, since it is smaller than the sum of its proper divisors (1710193626).

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

1304103114 is a wasteful number, since it uses less digits than its factorization.

1304103114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1304103114 is about 36112.3678813783. The cubic root of 1304103114 is about 1092.5399103252.

Adding to 1304103114 its reverse (4113014031), we get a palindrome (5417117145).

The spelling of 1304103114 in words is "one billion, three hundred four million, one hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 97 114 171 194 291 342 361 582 722 873 1083 1746 1843 2069 2166 3249 3686 4138 5529 6207 6498 11058 12414 16587 18621 33174 35017 37242 39311 70034 78622 105051 117933 200693 210102 235866 315153 353799 401386 602079 630306 707598 746909 1204158 1493818 1806237 2240727 3612474 3813167 4481454 6722181 7626334 11439501 13444362 22879002 34318503 68637006 72450173 144900346 217350519 434701038 652051557 1304103114