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28342104 = 2337732311
BaseRepresentation
bin110110000011…
…1011101011000
31222022221001120
41230013131120
524223421404
62451245240
7462622020
oct154073530
958287046
1028342104
1114aa892a
1295a9820
135b4449b
143a9aa80
15274c9d9
hex1b07758

28342104 has 64 divisors (see below), whose sum is σ = 82122240. Its totient is φ = 7983360.

The previous prime is 28342103. The next prime is 28342123. The reversal of 28342104 is 40124382.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28342103) 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, 11109 + ... + 13419.

It is an arithmetic number, because the mean of its divisors is an integer number (1283160).

Almost surely, 228342104 is an apocalyptic number.

28342104 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 28342104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41061120).

28342104 is an abundant number, since it is smaller than the sum of its proper divisors (53780136).

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

28342104 is a wasteful number, since it uses less digits than its factorization.

28342104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 28342104 is about 5323.7302711539. The cubic root of 28342104 is about 304.8905958951.

Adding to 28342104 its reverse (40124382), we get a palindrome (68466486).

The spelling of 28342104 in words is "twenty-eight million, three hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 2311 3066 4088 4622 6132 6933 9244 12264 13866 16177 18488 27732 32354 48531 55464 64708 97062 129416 168703 194124 337406 388248 506109 674812 1012218 1180921 1349624 2024436 2361842 3542763 4048872 4723684 7085526 9447368 14171052 28342104