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374112 = 2533433
BaseRepresentation
bin1011011010101100000
3201000012000
41123111200
543432422
612004000
73115464
oct1332540
9630160
10374112
11236092
12160600
1310138b
149a4a4
1575cac
hex5b560

374112 has 48 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 124416.

The previous prime is 374111. The next prime is 374117. The reversal of 374112 is 211473.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 374112.

It is not an unprimeable number, because it can be changed into a prime (374111) 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, 648 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2374112 is an apocalyptic number.

374112 is a gapful number since it is divisible by the number (32) 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 374112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840).

374112 is an abundant number, since it is smaller than the sum of its proper divisors (719568).

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

374112 is a wasteful number, since it uses less digits than its factorization.

374112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 374112 is about 611.6469569940. The cubic root of 374112 is about 72.0555127437.

Adding to 374112 its reverse (211473), we get a palindrome (585585).

The spelling of 374112 in words is "three hundred seventy-four thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 433 864 866 1299 1732 2598 3464 3897 5196 6928 7794 10392 11691 13856 15588 20784 23382 31176 41568 46764 62352 93528 124704 187056 374112