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2378112 = 27311563
BaseRepresentation
bin1001000100100110000000
311110211011020
421010212000
51102044422
6122545440
726133162
oct11044600
94424136
102378112
111384790
12968280
13653589
1445c932
1531e95c
hex244980

2378112 has 64 divisors (see below), whose sum is σ = 6903360. Its totient is φ = 719360.

The previous prime is 2378111. The next prime is 2378119. The reversal of 2378112 is 2118732.

2378112 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (64).

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 (2378111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3943 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (107865).

22378112 is an apocalyptic number.

2378112 is a gapful number since it is divisible by the number (22) 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 2378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451680).

2378112 is an abundant number, since it is smaller than the sum of its proper divisors (4525248).

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

2378112 is a wasteful number, since it uses less digits than its factorization.

2378112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 2378112 is about 1542.1128363385. The cubic root of 2378112 is about 133.4783311490.

The spelling of 2378112 in words is "two million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 563 704 1056 1126 1408 1689 2112 2252 3378 4224 4504 6193 6756 9008 12386 13512 18016 18579 24772 27024 36032 37158 49544 54048 72064 74316 99088 108096 148632 198176 216192 297264 396352 594528 792704 1189056 2378112