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1354489164 = 223273432551
BaseRepresentation
bin101000010111011…
…1101110101001100
310111101201011211100
41100232331311030
510233222123124
6342223223100
745364653000
oct12056756514
93441634740
101354489164
11635634836
12319747a90
131878057a2
14cbc66700
157dda51c9
hex50bbdd4c

1354489164 has 144 divisors (see below), whose sum is σ = 4087283200. Its totient is φ = 377848800.

The previous prime is 1354489153. The next prime is 1354489181. The reversal of 1354489164 is 4619844531.

1354489164 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 489 + 164 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529689 + ... + 532239.

Almost surely, 21354489164 is an apocalyptic number.

1354489164 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 1354489164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043641600).

1354489164 is an abundant number, since it is smaller than the sum of its proper divisors (2732794036).

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

1354489164 is a wasteful number, since it uses less digits than its factorization.

1354489164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2606 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1354489164 is about 36803.3852247317. The cubic root of 1354489164 is about 1106.4331476526.

The spelling of 1354489164 in words is "one billion, three hundred fifty-four million, four hundred eighty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 49 63 84 86 98 126 129 147 172 196 252 258 294 301 343 387 441 516 588 602 686 774 882 903 1029 1204 1372 1548 1764 1806 2058 2107 2551 2709 3087 3612 4116 4214 5102 5418 6174 6321 7653 8428 10204 10836 12348 12642 14749 15306 17857 18963 22959 25284 29498 30612 35714 37926 44247 45918 53571 58996 71428 75852 88494 91836 107142 109693 124999 132741 160713 176988 214284 219386 249998 265482 321426 329079 374997 438772 499996 530964 642852 658158 749994 767851 874993 987237 1124991 1316316 1499988 1535702 1749986 1974474 2249982 2303553 2624979 3071404 3499972 3948948 4499964 4607106 5249958 5374957 6910659 7874937 9214212 10499916 10749914 13821318 15749874 16124871 21499828 27642636 31499748 32249742 37624699 48374613 64499484 75249398 96749226 112874097 150498796 193498452 225748194 338622291 451496388 677244582 1354489164