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2379104 = 257131943
BaseRepresentation
bin1001000100110101100000
311110212111222
421010311200
51102112404
6122554212
726136110
oct11046540
94425458
102379104
111385502
12968968
13653b70
1445d040
1531edbe
hex244d60

2379104 has 96 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 870912.

The previous prime is 2379079. The next prime is 2379149. The reversal of 2379104 is 4019732.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55307 + ... + 55349.

It is an arithmetic number, because the mean of its divisors is an integer number (64680).

22379104 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 2379104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2379104 is an abundant number, since it is smaller than the sum of its proper divisors (3830176).

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

2379104 is a wasteful number, since it uses less digits than its factorization.

2379104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 2379104 is about 1542.4344394495. The cubic root of 2379104 is about 133.4968881804.

The spelling of 2379104 in words is "two million, three hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 43 52 56 76 86 91 104 112 133 152 172 182 208 224 247 266 301 304 344 364 416 494 532 559 602 608 688 728 817 988 1064 1118 1204 1376 1456 1634 1729 1976 2128 2236 2408 2912 3268 3458 3913 3952 4256 4472 4816 5719 6536 6916 7826 7904 8944 9632 10621 11438 13072 13832 15652 17888 21242 22876 26144 27664 31304 42484 45752 55328 62608 74347 84968 91504 125216 148694 169936 183008 297388 339872 594776 1189552 2379104