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28345104 = 2432414801
BaseRepresentation
bin110110000100…
…0001100010000
31222100002011200
41230020030100
524224020404
62451311200
7462633534
oct154101420
958302150
1028345104
1115000107
1295ab500
135b45968
143a9bbc4
15274d839
hex1b08310

28345104 has 60 divisors (see below), whose sum is σ = 81278652. Its totient is φ = 9216000.

The previous prime is 28345099. The next prime is 28345157. The reversal of 28345104 is 40154382.

It can be written as a sum of positive squares in 2 ways, for example, as 7551504 + 20793600 = 2748^2 + 4560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3504 + ... + 8304.

Almost surely, 228345104 is an apocalyptic number.

28345104 is a gapful number since it is divisible by the number (24) 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 28345104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40639326).

28345104 is an abundant number, since it is smaller than the sum of its proper divisors (52933548).

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

28345104 is a wasteful number, since it uses less digits than its factorization.

28345104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28345104 is about 5324.0120210232. The cubic root of 28345104 is about 304.9013530302.

Adding to 28345104 its reverse (40154382), we get a palindrome (68499486).

The spelling of 28345104 in words is "twenty-eight million, three hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 4801 5904 9602 14403 19204 28806 38408 43209 57612 76816 86418 115224 172836 196841 230448 345672 393682 590523 691344 787364 1181046 1574728 1771569 2362092 3149456 3543138 4724184 7086276 9448368 14172552 28345104