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423248301 = 33729314753
BaseRepresentation
bin11001001110100…
…100000110101101
31002111102020112000
4121032210012231
51331322421201
6105555402513
713326360030
oct3116440655
91074366460
10423248301
111a7a04793
12b98b3439
13698c13a8
14402d7017
1527256d86
hex193a41ad

423248301 has 128 divisors (see below), whose sum is σ = 796262400. Its totient is φ = 217002240.

The previous prime is 423248281. The next prime is 423248327. The reversal of 423248301 is 103842324.

It is not a de Polignac number, because 423248301 - 29 = 423247789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423248341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7985791 + ... + 7985843.

It is an arithmetic number, because the mean of its divisors is an integer number (6220800).

Almost surely, 2423248301 is an apocalyptic number.

It is an amenable number.

423248301 is a deficient number, since it is larger than the sum of its proper divisors (373014099).

423248301 is a wasteful number, since it uses less digits than its factorization.

423248301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 423248301 is about 20572.9993194964. Note that the first 3 decimals coincide. The cubic root of 423248301 is about 750.8129265489.

It can be divided in two parts, 42324 and 8301, that added together give a 4-th power (50625 = 154).

The spelling of 423248301 in words is "four hundred twenty-three million, two hundred forty-eight thousand, three hundred one".

Divisors: 1 3 7 9 21 27 29 31 47 53 63 87 93 141 159 189 203 217 261 279 329 371 423 477 609 651 783 837 899 987 1113 1269 1363 1431 1457 1537 1643 1827 1953 2491 2697 2961 3339 4089 4371 4611 4929 5481 5859 6293 7473 8091 8883 9541 10017 10199 10759 11501 12267 13113 13833 14787 17437 18879 22419 24273 28623 30597 32277 34503 36801 39339 41499 42253 44361 47647 52311 56637 67257 72239 77221 85869 91791 96831 103509 126759 142941 156933 169911 216717 231663 257607 275373 290493 295771 310527 333529 380277 428823 470799 505673 540547 650151 694989 887313 1000587 1140831 1286469 1517019 1621641 1950453 2084967 2239409 2661939 3001761 4551057 4864923 6718227 7985817 9005283 13653171 14594769 15675863 20154681 47027589 60464043 141082767 423248301