Search a number
-
+
28345340 = 2251997769
BaseRepresentation
bin110110000100…
…0001111111100
31222100002111102
41230020033330
524224022330
62451312232
7462634322
oct154101774
958302442
1028345340
1115000301
1295ab678
135b45aba
143a9bd12
15274d945
hex1b083fc

28345340 has 48 divisors (see below), whose sum is σ = 63386400. Its totient is φ = 10616832.

The previous prime is 28345333. The next prime is 28345349. The reversal of 28345340 is 4354382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28345349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36476 + ... + 37244.

It is an arithmetic number, because the mean of its divisors is an integer number (1320550).

Almost surely, 228345340 is an apocalyptic number.

28345340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28345340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31693200).

28345340 is an abundant number, since it is smaller than the sum of its proper divisors (35041060).

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

28345340 is a wasteful number, since it uses less digits than its factorization.

28345340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 28345340 is about 5324.0341847137. The cubic root of 28345340 is about 304.9021992259.

The spelling of 28345340 in words is "twenty-eight million, three hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 380 388 485 769 970 1538 1843 1940 3076 3686 3845 7372 7690 9215 14611 15380 18430 29222 36860 58444 73055 74593 146110 149186 292220 298372 372965 745930 1417267 1491860 2834534 5669068 7086335 14172670 28345340