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374248 = 23741163
BaseRepresentation
bin1011011010111101000
3201000101001
41123113220
543433443
612004344
73116050
oct1332750
9630331
10374248
112361a6
121606b4
13101464
149a560
1575d4d
hex5b5e8

374248 has 32 divisors (see below), whose sum is σ = 826560. Its totient is φ = 155520.

The previous prime is 374239. The next prime is 374287. The reversal of 374248 is 842473.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

374248 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 2215 + ... + 2377.

It is an arithmetic number, because the mean of its divisors is an integer number (25830).

2374248 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 374248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413280).

374248 is an abundant number, since it is smaller than the sum of its proper divisors (452312).

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

374248 is a wasteful number, since it uses less digits than its factorization.

374248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 374248 is about 611.7581221365. The cubic root of 374248 is about 72.0642430726.

374248 divided by its sum of digits (28) gives a triangular number (13366 = T163).

The spelling of 374248 in words is "three hundred seventy-four thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 41 56 82 163 164 287 326 328 574 652 1141 1148 1304 2282 2296 4564 6683 9128 13366 26732 46781 53464 93562 187124 374248