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434996982 = 2327191091667
BaseRepresentation
bin11001111011011…
…000011011110110
31010022112010200100
4121323120123312
51342324400412
6111055254530
713531261530
oct3173303366
91108463610
10434996982
112035a9742
1210181a446
136c175b84
1441ab4850
15282c7edc
hex19ed86f6

434996982 has 96 divisors (see below), whose sum is σ = 1144915200. Its totient is φ = 116593344.

The previous prime is 434996977. The next prime is 434996993. The reversal of 434996982 is 289699434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260113 + ... + 261779.

It is an arithmetic number, because the mean of its divisors is an integer number (11926200).

Almost surely, 2434996982 is an apocalyptic number.

434996982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 434996982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572457600).

434996982 is an abundant number, since it is smaller than the sum of its proper divisors (709918218).

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

434996982 is a wasteful number, since it uses less digits than its factorization.

434996982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1807 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 434996982 is about 20856.5812634765. The cubic root of 434996982 is about 757.6967328768.

The spelling of 434996982 in words is "four hundred thirty-four million, nine hundred ninety-six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 109 114 126 133 171 218 266 327 342 399 654 763 798 981 1197 1526 1667 1962 2071 2289 2394 3334 4142 4578 5001 6213 6867 10002 11669 12426 13734 14497 15003 18639 23338 28994 30006 31673 35007 37278 43491 63346 70014 86982 95019 105021 130473 181703 190038 210042 221711 260946 285057 363406 443422 545109 570114 665133 1090218 1271921 1330266 1635327 1995399 2543842 3270654 3452357 3815763 3990798 6904714 7631526 10357071 11447289 20714142 22894578 24166499 31071213 48332998 62142426 72499497 144998994 217498491 434996982