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323424239616 = 2143214812
BaseRepresentation
bin1001011010011011001…
…01100100000000000000
31010220210222202200200100
410231031211210000000
520244333101131431
6404325023522400
732236516451202
oct4551545440000
91126728680610
10323424239616
11115188608215
1252822159400
1324663a6841a
1411922104772
15862dd6e4e6
hex4b4d964000

323424239616 has 135 divisors (see below), whose sum is σ = 934939467553. Its totient is φ = 107735285760.

The previous prime is 323424239587. The next prime is 323424239627. The reversal of 323424239616 is 616932424323.

The square root of 323424239616 is 568704.

It is a perfect power (a square), and thus also a powerful number.

323424239616 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 2 + 4 + 23 + 9 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138455433216 + 184968806400 = 372096^2 + 430080^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 218381596 + ... + 218383076.

Almost surely, 2323424239616 is an apocalyptic number.

323424239616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

323424239616 is the 568704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323424239616

323424239616 is an abundant number, since it is smaller than the sum of its proper divisors (611515227937).

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

323424239616 is an frugal number, since it uses more digits than its factorization.

323424239616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 1486 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 323424239616 in words is "three hundred twenty-three billion, four hundred twenty-four million, two hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1481 1536 2048 2304 2962 3072 4096 4443 4608 5924 6144 8192 8886 9216 11848 12288 13329 16384 17772 18432 23696 24576 26658 35544 36864 47392 49152 53316 71088 73728 94784 106632 142176 147456 189568 213264 284352 379136 426528 568704 758272 853056 1137408 1516544 1706112 2193361 2274816 3033088 3412224 4386722 4549632 6066176 6580083 6824448 8773444 9099264 12132352 13160166 13648896 17546888 18198528 19740249 24264704 26320332 27297792 35093776 36397056 39480498 52640664 54595584 70187552 72794112 78960996 105281328 109191168 140375104 157921992 210562656 218382336 280750208 315843984 421125312 561500416 631687968 842250624 1123000832 1263375936 1684501248 2246001664 2526751872 3369002496 4492003328 5053503744 6738004992 8984006656 10107007488 13476009984 17968013312 20214014976 26952019968 35936026624 40428029952 53904039936 80856059904 107808079872 161712119808 323424239616