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676330144 = 2573431433
BaseRepresentation
bin101000010011111…
…111101010100000
31202010122010112121
4220103333222200
52341120031034
6151040034024
722521466000
oct5023775240
91663563477
10676330144
11317852936
1216a602914
13aa172769
1465b76000
153e5991b4
hex284ffaa0

676330144 has 96 divisors (see below), whose sum is σ = 1590019200. Its totient is φ = 282917376.

The previous prime is 676330133. The next prime is 676330147. The reversal of 676330144 is 441033676.

676330144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (676330147) 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, 471252 + ... + 472684.

It is an arithmetic number, because the mean of its divisors is an integer number (16562700).

Almost surely, 2676330144 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 676330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795009600).

676330144 is an abundant number, since it is smaller than the sum of its proper divisors (913689056).

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

676330144 is a wasteful number, since it uses less digits than its factorization.

676330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 676330144 is about 26006.3481480965. The cubic root of 676330144 is about 877.7811455632.

The spelling of 676330144 in words is "six hundred seventy-six million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 112 172 196 224 301 343 344 392 602 686 688 784 1204 1372 1376 1433 1568 2107 2408 2744 2866 4214 4816 5488 5732 8428 9632 10031 10976 11464 14749 16856 20062 22928 29498 33712 40124 45856 58996 61619 67424 70217 80248 117992 123238 140434 160496 235984 246476 280868 320992 431333 471968 491519 492952 561736 862666 983038 985904 1123472 1725332 1966076 1971808 2246944 3019331 3450664 3932152 6038662 6901328 7864304 12077324 13802656 15728608 21135317 24154648 42270634 48309296 84541268 96618592 169082536 338165072 676330144