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3245640608 = 25771892293
BaseRepresentation
bin1100000101110100…
…1000101110100000
322101012020121220102
43001131020232200
523121340444413
61254021201532
7143300330030
oct30135105640
98335217812
103245640608
111416096911
12766b602a8
133c955b902
1422b0a98c0
1513ee16458
hexc1748ba0

3245640608 has 96 divisors (see below), whose sum is σ = 7492020480. Its totient is φ = 1355397120.

The previous prime is 3245640583. The next prime is 3245640611. The reversal of 3245640608 is 8060465423.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1414310 + ... + 1416602.

It is an arithmetic number, because the mean of its divisors is an integer number (78041880).

Almost surely, 23245640608 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 3245640608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746010240).

3245640608 is an abundant number, since it is smaller than the sum of its proper divisors (4246379872).

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

3245640608 is a wasteful number, since it uses less digits than its factorization.

3245640608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 3245640608 is about 56970.5240277812. The cubic root of 3245640608 is about 1480.5854464938.

The spelling of 3245640608 in words is "three billion, two hundred forty-five million, six hundred forty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 89 112 142 178 224 284 356 497 568 623 712 994 1136 1246 1424 1988 2272 2293 2492 2848 3976 4586 4984 6319 7952 9172 9968 12638 15904 16051 18344 19936 25276 32102 36688 44233 50552 64204 73376 88466 101104 128408 162803 176932 202208 204077 256816 325606 353864 408154 513632 651212 707728 816308 1139621 1302424 1415456 1428539 1632616 2279242 2604848 2857078 3265232 4558484 5209696 5714156 6530464 9116968 11428312 14489467 18233936 22856624 28978934 36467872 45713248 57957868 101426269 115915736 202852538 231831472 405705076 463662944 811410152 1622820304 3245640608