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450341451 = 3574347131
BaseRepresentation
bin11010110101111…
…010101001001011
31011101101201100000
4122311322221023
51410241411301
6112404214043
714105560560
oct3265725113
91141351300
10450341451
1121122a21a
1210699a323
13723b9241
1443b4a867
1529809786
hex1ad7aa4b

450341451 has 96 divisors (see below), whose sum is σ = 811819008. Its totient is φ = 244127520.

The previous prime is 450341413. The next prime is 450341461. The reversal of 450341451 is 154143054.

It is a happy number.

It is not a de Polignac number, because 450341451 - 26 = 450341387 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (450341461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3437656 + ... + 3437786.

It is an arithmetic number, because the mean of its divisors is an integer number (8456448).

Almost surely, 2450341451 is an apocalyptic number.

450341451 is the 10611-st decagonal number.

450341451 is a deficient number, since it is larger than the sum of its proper divisors (361477557).

450341451 is a wasteful number, since it uses less digits than its factorization.

450341451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 450341451 is about 21221.2499867468. The cubic root of 450341451 is about 766.5032034823.

It can be divided in two parts, 4503 and 41451, that added together give a palindrome (45954).

The spelling of 450341451 in words is "four hundred fifty million, three hundred forty-one thousand, four hundred fifty-one".

Divisors: 1 3 7 9 21 27 43 47 63 81 129 131 141 189 243 301 329 387 393 423 567 903 917 987 1161 1179 1269 1701 2021 2709 2751 2961 3483 3537 3807 5633 6063 6157 8127 8253 8883 10449 10611 11421 14147 16899 18189 18471 24381 24759 26649 31833 39431 42441 43099 50697 54567 55413 73143 74277 79947 118293 127323 129297 152091 163701 166239 222831 264751 354879 381969 387891 456273 491103 498717 794253 1064637 1145907 1163673 1368819 1496151 1853257 2382759 3193911 3437721 3491019 5559771 7148277 9581733 10473057 16679313 21444831 50037939 64334493 150113817 450341451