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484429374 = 2321113231467
BaseRepresentation
bin11100110111111…
…100111000111110
31020202112120011200
4130313330320332
51443003214444
6120023000330
715001403352
oct3467747076
91222476150
10484429374
112294a1a60
121162990a6
1379492b00
14484a1462
152c7de969
hex1cdfce3e

484429374 has 144 divisors (see below), whose sum is σ = 1282604544. Its totient is φ = 130852800.

The previous prime is 484429373. The next prime is 484429469. The reversal of 484429374 is 473924484.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484429373) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1037089 + ... + 1037555.

It is an arithmetic number, because the mean of its divisors is an integer number (8906976).

Almost surely, 2484429374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484429374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641302272).

484429374 is an abundant number, since it is smaller than the sum of its proper divisors (798175170).

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

484429374 is a wasteful number, since it uses less digits than its factorization.

484429374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 484429374 is about 22009.7563366794. The cubic root of 484429374 is about 785.3745485672.

The spelling of 484429374 in words is "four hundred eighty-four million, four hundred twenty-nine thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 31 33 39 62 66 78 93 99 117 143 169 186 198 234 279 286 338 341 403 429 467 507 558 682 806 858 934 1014 1023 1209 1287 1401 1521 1859 2046 2418 2574 2802 3042 3069 3627 3718 4203 4433 5137 5239 5577 6071 6138 7254 8406 8866 10274 10478 11154 12142 13299 14477 15411 15717 16731 18213 26598 28954 30822 31434 33462 36426 39897 43431 46233 47151 54639 57629 66781 78923 79794 86862 92466 94302 109278 115258 130293 133562 157846 159247 172887 188201 200343 236769 260586 318494 345774 376402 400686 473538 477741 518661 564603 601029 710307 868153 955482 1037322 1129206 1202058 1420614 1433223 1693809 1736306 2070211 2446613 2604459 2866446 3387618 4140422 4893226 5208918 6210633 7339839 7813377 12421266 14679678 15626754 18631899 22019517 26912743 37263798 44039034 53825486 80738229 161476458 242214687 484429374