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1373808384 = 28331315289
BaseRepresentation
bin101000111100010…
…1010011100000000
310112202001200211000
41101320222130000
510303143332014
6344153252000
746021115154
oct12170523400
93482050730
101373808384
1164552a633
12324104000
1318b80b090
14d0655064
158091e509
hex51e2a700

1373808384 has 144 divisors (see below), whose sum is σ = 4375386400. Its totient is φ = 422682624.

The previous prime is 1373808383. The next prime is 1373808413. The reversal of 1373808384 is 4838083731.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1373808383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82212 + ... + 97500.

Almost surely, 21373808384 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 1373808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187693200).

1373808384 is an abundant number, since it is smaller than the sum of its proper divisors (3001578016).

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

1373808384 is a wasteful number, since it uses less digits than its factorization.

1373808384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15327 (or 15307 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1373808384 is about 37064.9212059057. The cubic root of 1373808384 is about 1111.6687245345.

The spelling of 1373808384 in words is "one billion, three hundred seventy-three million, eight hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 15289 22464 29952 30578 44928 45867 61156 89856 91734 122312 137601 183468 198757 244624 275202 366936 397514 412803 489248 550404 596271 733872 795028 825606 978496 1100808 1192542 1467744 1590056 1651212 1788813 1956992 2201616 2385084 2935488 3180112 3302424 3577626 3913984 4403232 4770168 5366439 5870976 6360224 6604848 7155252 8806464 9540336 10732878 11741952 12720448 13209696 14310504 17612928 19080672 21465756 25440896 26419392 28621008 35225856 38161344 42931512 50881792 52838784 57242016 76322688 85863024 105677568 114484032 152645376 171726048 228968064 343452096 457936128 686904192 1373808384