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1304031344 = 247112514217
BaseRepresentation
bin100110110111001…
…1111000001110000
310100212202122201012
41031232133001300
510132313000334
6333221530052
744213040440
oct11556370160
93325678635
101304031344
1160a101060
12304873928
1317a219ba5
14c5290120
15797399ce
hex4db9f070

1304031344 has 80 divisors (see below), whose sum is σ = 3163297536. Its totient is φ = 505920000.

The previous prime is 1304031331. The next prime is 1304031353. The reversal of 1304031344 is 4431304031.

It is a super-2 number, since 2×13040313442 = 3400995492268892672, which contains 22 as substring.

It is a congruent number.

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, 307124 + ... + 311340.

Almost surely, 21304031344 is an apocalyptic number.

1304031344 is a gapful number since it is divisible by the number (14) 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 1304031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581648768).

1304031344 is an abundant number, since it is smaller than the sum of its proper divisors (1859266192).

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

1304031344 is a wasteful number, since it uses less digits than its factorization.

1304031344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1304031344 is about 36111.3741638282. The cubic root of 1304031344 is about 1092.5198676801.

Adding to 1304031344 its reverse (4431304031), we get a palindrome (5735335375).

The spelling of 1304031344 in words is "one billion, three hundred four million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 251 308 502 616 1004 1232 1757 2008 2761 3514 4016 4217 5522 7028 8434 11044 14056 16868 19327 22088 28112 29519 33736 38654 44176 46387 59038 67472 77308 92774 118076 154616 185548 236152 309232 324709 371096 472304 649418 742192 1058467 1298836 2116934 2597672 4233868 5195344 7409269 8467736 11643137 14818538 16935472 23286274 29637076 46572548 59274152 81501959 93145096 118548304 163003918 186290192 326007836 652015672 1304031344