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4325344452 = 223211131944221
BaseRepresentation
bin1000000011100111…
…11000010011000100
3102011102220021010200
410001303320103010
532324242010302
61553111050500
7212120551452
oct40163702304
912142807120
104325344452
11191a5a9340
12a08670a30
1353c154420
142d06439d2
151a4add81c
hex101cf84c4

4325344452 has 144 divisors (see below), whose sum is σ = 13521318720. Its totient is φ = 1146182400.

The previous prime is 4325344451. The next prime is 4325344477. The reversal of 4325344452 is 2544435234.

4325344452 is a `hidden beast` number, since 4 + 32 + 534 + 44 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4325344451) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 75702 + ... + 119922.

Almost surely, 24325344452 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 4325344452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6760659360).

4325344452 is an abundant number, since it is smaller than the sum of its proper divisors (9195974268).

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

4325344452 is a wasteful number, since it uses less digits than its factorization.

4325344452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44274 (or 44269 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 4325344452 is about 65767.3509577511. The cubic root of 4325344452 is about 1629.3219170094.

Adding to 4325344452 its reverse (2544435234), we get a palindrome (6869779686).

The spelling of 4325344452 in words is "four billion, three hundred twenty-five million, three hundred forty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 19 22 26 33 36 38 39 44 52 57 66 76 78 99 114 117 132 143 156 171 198 209 228 234 247 286 342 396 418 429 468 494 572 627 684 741 836 858 988 1254 1287 1482 1716 1881 2223 2508 2574 2717 2964 3762 4446 5148 5434 7524 8151 8892 10868 16302 24453 32604 44221 48906 88442 97812 132663 176884 265326 397989 486431 530652 574873 795978 840199 972862 1149746 1459293 1591956 1680398 1724619 1945724 2299492 2520597 2918586 3360796 3449238 4377879 5041194 5173857 5837172 6323603 6898476 7561791 8755758 9242189 10082388 10347714 10922587 12647206 15123582 17511516 18484378 18970809 20695428 21845174 25294412 27726567 30247164 32767761 36968756 37941618 43690348 55453134 56912427 65535522 75883236 83179701 98303283 110906268 113824854 120148457 131071044 166359402 196606566 227649708 240296914 332718804 360445371 393213132 480593828 720890742 1081336113 1441781484 2162672226 4325344452