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451027434 = 2311131973379
BaseRepresentation
bin11010111000100…
…010000111101010
31011102200120022210
4122320202013222
51410430334214
6112431025550
714114445534
oct3270420752
91142616283
10451027434
11211658650
1210706b2b6
1372599550
1443c88854
15298e2b59
hex1ae221ea

451027434 has 128 divisors (see below), whose sum is σ = 1133798400. Its totient is φ = 117573120.

The previous prime is 451027433. The next prime is 451027457. The reversal of 451027434 is 434720154.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (451027433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1189857 + ... + 1190235.

It is an arithmetic number, because the mean of its divisors is an integer number (8857800).

Almost surely, 2451027434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451027434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566899200).

451027434 is an abundant number, since it is smaller than the sum of its proper divisors (682770966).

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

451027434 is a wasteful number, since it uses less digits than its factorization.

451027434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500.

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 451027434 is about 21237.4064800766. The cubic root of 451027434 is about 766.8921982568.

Adding to 451027434 its reverse (434720154), we get a palindrome (885747588).

The spelling of 451027434 in words is "four hundred fifty-one million, twenty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 73 78 114 143 146 209 219 247 286 379 418 429 438 494 627 741 758 803 858 949 1137 1254 1387 1482 1606 1898 2274 2409 2717 2774 2847 4161 4169 4818 4927 5434 5694 7201 8151 8322 8338 9854 10439 12507 14402 14781 15257 16302 18031 20878 21603 25014 27667 29562 30514 31317 36062 43206 45771 54093 54197 55334 62634 79211 83001 91542 93613 108186 108394 158422 162591 166002 187226 198341 237633 280839 304337 325182 359671 396682 475266 525673 561678 595023 608674 719342 913011 1029743 1051346 1079013 1190046 1577019 1826022 2059486 2158026 3089229 3154038 3956381 5782403 6178458 6833749 7912762 11564806 11869143 13667498 17347209 20501247 23738286 34694418 41002494 75171239 150342478 225513717 451027434