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28343376 = 24321491321
BaseRepresentation
bin110110000011…
…1110001010000
31222022222210200
41230013301100
524223442001
62451255200
7462625515
oct154076120
958288720
1028343376
1114aa9886
1295aa500
135b44c39
143a9b30c
15274d086
hex1b07c50

28343376 has 60 divisors (see below), whose sum is σ = 79914900. Its totient is φ = 9377280.

The previous prime is 28343339. The next prime is 28343387. The reversal of 28343376 is 67334382.

28343376 is a `hidden beast` number, since 283 + 4 + 3 + 376 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15210000 + 13133376 = 3900^2 + 3624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28343376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20796 + ... + 22116.

It is an arithmetic number, because the mean of its divisors is an integer number (1331915).

Almost surely, 228343376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28343376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39957450).

28343376 is an abundant number, since it is smaller than the sum of its proper divisors (51571524).

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

28343376 is a wasteful number, since it uses less digits than its factorization.

28343376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1475 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 28343376 is about 5323.8497349193. The cubic root of 28343376 is about 304.8951570131.

The spelling of 28343376 in words is "twenty-eight million, three hundred forty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1321 1341 1788 2384 2642 2682 3576 3963 5284 5364 7152 7926 10568 10728 11889 15852 21136 21456 23778 31704 47556 63408 95112 190224 196829 393658 590487 787316 1180974 1574632 1771461 2361948 3149264 3542922 4723896 7085844 9447792 14171688 28343376