Search a number
-
+
434051440 = 24537146639
BaseRepresentation
bin11001110111110…
…001100101110000
31010020202002122021
4121313301211300
51342104121230
6111023121224
713520243044
oct3167614560
91106662567
10434051440
112030132a9
12101443214
136bc04694
144190a024
152818cc7a
hex19df1970

434051440 has 40 divisors (see below), whose sum is σ = 1036451520. Its totient is φ = 168926976.

The previous prime is 434051413. The next prime is 434051441. The reversal of 434051440 is 44150434.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434051441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70360 + ... + 76279.

It is an arithmetic number, because the mean of its divisors is an integer number (25911288).

Almost surely, 2434051440 is an apocalyptic number.

434051440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434051440 is an abundant number, since it is smaller than the sum of its proper divisors (602400080).

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

434051440 is a wasteful number, since it uses less digits than its factorization.

434051440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146689 (or 146683 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 434051440 is about 20833.9012189268. The cubic root of 434051440 is about 757.1473391723.

The spelling of 434051440 in words is "four hundred thirty-four million, fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 146639 293278 586556 733195 1173112 1466390 2346224 2932780 5425643 5865560 10851286 11731120 21702572 27128215 43405144 54256430 86810288 108512860 217025720 434051440