Search a number
-
+
428341095 = 335721317293
BaseRepresentation
bin11001100001111…
…111011101100111
31002211222222112000
4121201333131213
51334123403340
6110300500343
713420560600
oct3141773547
91084888460
10428341095
111aa873006
12bb54a6b3
136a985490
1440c60da7
1527910d30
hex1987f767

428341095 has 192 divisors, whose sum is σ = 1013523840. Its totient is φ = 169537536.

The previous prime is 428341091. The next prime is 428341153. The reversal of 428341095 is 590143824.

It is not a de Polignac number, because 428341095 - 22 = 428341091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428341091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1461769 + ... + 1462061.

It is an arithmetic number, because the mean of its divisors is an integer number (5278770).

Almost surely, 2428341095 is an apocalyptic number.

428341095 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428341095 is an abundant number, since it is smaller than the sum of its proper divisors (585182745).

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

428341095 is a wasteful number, since it uses less digits than its factorization.

428341095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 428341095 is about 20696.4029483386. The cubic root of 428341095 is about 753.8123484971.

The spelling of 428341095 in words is "four hundred twenty-eight million, three hundred forty-one thousand, ninety-five".