Search a number
-
+
434214020 = 225791991381
BaseRepresentation
bin11001111000011…
…001010010000100
31010021001100122202
4121320121102010
51342124322040
6111030414032
713521521042
oct3170312204
91107040582
10434214020
11203114469
12101501318
136bc60696
144194d392
15281c1015
hex19e19484

434214020 has 48 divisors (see below), whose sum is σ = 928704000. Its totient is φ = 170501760.

The previous prime is 434214019. The next prime is 434214031. The reversal of 434214020 is 20412434.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 434213983 and 434214001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313730 + ... + 315110.

It is an arithmetic number, because the mean of its divisors is an integer number (19348000).

Almost surely, 2434214020 is an apocalyptic number.

It is an amenable number.

434214020 is an abundant number, since it is smaller than the sum of its proper divisors (494489980).

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

434214020 is a wasteful number, since it uses less digits than its factorization.

434214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 434214020 is about 20837.8026672680. The cubic root of 434214020 is about 757.2418607251.

Adding to 434214020 its reverse (20412434), we get a palindrome (454626454).

The spelling of 434214020 in words is "four hundred thirty-four million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 79 158 199 316 395 398 790 796 995 1381 1580 1990 2762 3980 5524 6905 13810 15721 27620 31442 62884 78605 109099 157210 218198 274819 314420 436396 545495 549638 1090990 1099276 1374095 2181980 2748190 5496380 21710701 43421402 86842804 108553505 217107010 434214020