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1307449104 = 2431319910529
BaseRepresentation
bin100110111101110…
…0001011100010000
310101010012021222220
41031323201130100
510134201332404
6333423101040
744254063653
oct11573413420
93333167886
101307449104
11611025955
12305a41780
1317ab45730
14c58dd89a
1579bb24d9
hex4dee1710

1307449104 has 80 divisors (see below), whose sum is σ = 3656016000. Its totient is φ = 400232448.

The previous prime is 1307449097. The next prime is 1307449133. The reversal of 1307449104 is 4019447031.

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, 118912 + ... + 129440.

It is an arithmetic number, because the mean of its divisors is an integer number (45700200).

Almost surely, 21307449104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307449104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008000).

1307449104 is an abundant number, since it is smaller than the sum of its proper divisors (2348566896).

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

1307449104 is a wasteful number, since it uses less digits than its factorization.

1307449104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10752 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1307449104 is about 36158.6656833462. The cubic root of 1307449104 is about 1093.4735035768.

The spelling of 1307449104 in words is "one billion, three hundred seven million, four hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 199 208 312 398 597 624 796 1194 1592 2388 2587 3184 4776 5174 7761 9552 10348 10529 15522 20696 21058 31044 31587 41392 42116 62088 63174 84232 124176 126348 136877 168464 252696 273754 410631 505392 547508 821262 1095016 1642524 2095271 2190032 3285048 4190542 6285813 6570096 8381084 12571626 16762168 25143252 27238523 33524336 50286504 54477046 81715569 100573008 108954092 163431138 217908184 326862276 435816368 653724552 1307449104