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434984418 = 234112310613
BaseRepresentation
bin11001111011010…
…101010111100010
31010022111111110000
4121323111113202
51342324000133
6111055120430
713531210101
oct3173252742
91108444400
10434984418
112035a0260
12101813116
136c17023b
1441ab0038
15282c4413
hex19ed55e2

434984418 has 80 divisors (see below), whose sum is σ = 1109630016. Its totient is φ = 126070560.

The previous prime is 434984401. The next prime is 434984503. The reversal of 434984418 is 814489434.

It is a super-2 number, since 2×4349844182 = 378422887805597448, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 35680 + ... + 46292.

Almost surely, 2434984418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434984418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554815008).

434984418 is an abundant number, since it is smaller than the sum of its proper divisors (674645598).

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

434984418 is a wasteful number, since it uses less digits than its factorization.

434984418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10661 (or 10652 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 434984418 is about 20856.2800614108. The cubic root of 434984418 is about 757.6894379654.

The spelling of 434984418 in words is "four hundred thirty-four million, nine hundred eighty-four thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 253 297 414 506 594 621 759 891 1242 1518 1782 1863 2277 3726 4554 6831 10613 13662 20493 21226 31839 40986 63678 95517 116743 191034 233486 244099 286551 350229 488198 573102 700458 732297 859653 1050687 1464594 1719306 2101374 2196891 2685089 3152061 4393782 5370178 6304122 6590673 8055267 9456183 13181346 16110534 18912366 19772019 24165801 39544038 48331602 72497403 144994806 217492209 434984418