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1304410120 = 235132508481
BaseRepresentation
bin100110110111111…
…1011100000001000
310100220110220021221
41031233323200020
510132412110440
6333234011424
744216205646
oct11557734010
93326426257
101304410120
1160a33a6a2
12304a16b74
1317a320410
14c534c196
15797b1d4a
hex4dbfb808

1304410120 has 32 divisors (see below), whose sum is σ = 3160687320. Its totient is φ = 481628160.

The previous prime is 1304410049. The next prime is 1304410123. The reversal of 1304410120 is 210144031.

It can be written as a sum of positive squares in 4 ways, for example, as 425761956 + 878648164 = 20634^2 + 29642^2 .

It is a super-2 number, since 2×13044101202 = 3402971522316828800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1304410094 and 1304410103.

It is not an unprimeable number, because it can be changed into a prime (1304410123) 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, 1253721 + ... + 1254760.

Almost surely, 21304410120 is an apocalyptic number.

1304410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304410120 is an abundant number, since it is smaller than the sum of its proper divisors (1856277200).

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

1304410120 is a wasteful number, since it uses less digits than its factorization.

1304410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508505 (or 2508501 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1304410120 is about 36116.6183356083. The cubic root of 1304410120 is about 1092.6256371840.

Adding to 1304410120 its reverse (210144031), we get a palindrome (1514554151).

The spelling of 1304410120 in words is "one billion, three hundred four million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2508481 5016962 10033924 12542405 20067848 25084810 32610253 50169620 65220506 100339240 130441012 163051265 260882024 326102530 652205060 1304410120