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434150220 = 223571815711
BaseRepresentation
bin11001111000001…
…001101101001100
31010020221010010210
4121320021231030
51342120301340
6111025202420
713521134040
oct3170115514
91106833123
10434150220
11203080539
12101490410
136bc3a62a
1441934020
15281ac180
hex19e09b4c

434150220 has 96 divisors (see below), whose sum is σ = 1397200896. Its totient is φ = 98668800.

The previous prime is 434150191. The next prime is 434150221. The reversal of 434150220 is 22051434.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (434150221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73165 + ... + 78875.

It is an arithmetic number, because the mean of its divisors is an integer number (14554176).

Almost surely, 2434150220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434150220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698600448).

434150220 is an abundant number, since it is smaller than the sum of its proper divisors (963050676).

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

434150220 is a wasteful number, since it uses less digits than its factorization.

434150220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 434150220 is about 20836.2717394451. The cubic root of 434150220 is about 757.2047711834.

The spelling of 434150220 in words is "four hundred thirty-four million, one hundred fifty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 181 210 362 420 543 724 905 1086 1267 1810 2172 2534 2715 3620 3801 5068 5430 5711 6335 7602 10860 11422 12670 15204 17133 19005 22844 25340 28555 34266 38010 39977 57110 68532 76020 79954 85665 114220 119931 159908 171330 199885 239862 342660 399770 479724 599655 799540 1033691 1199310 2067382 2398620 3101073 4134764 5168455 6202146 7235837 10336910 12404292 14471674 15505365 20673820 21707511 28943348 31010730 36179185 43415022 62021460 72358370 86830044 108537555 144716740 217075110 434150220