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387940 = 225717163
BaseRepresentation
bin1011110101101100100
3201201011011
41132231210
544403230
612152004
73204010
oct1365544
9651134
10387940
11245513
12168604
13107767
14a1540
1579e2a
hex5eb64

387940 has 48 divisors (see below), whose sum is σ = 991872. Its totient is φ = 124416.

The previous prime is 387917. The next prime is 387953. The reversal of 387940 is 49783.

387940 = T51 + T52 + ... + T134.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 2299 + ... + 2461.

It is an arithmetic number, because the mean of its divisors is an integer number (20664).

2387940 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 387940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495936).

387940 is an abundant number, since it is smaller than the sum of its proper divisors (603932).

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

387940 is a wasteful number, since it uses less digits than its factorization.

387940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 387940 is about 622.8482961364. The cubic root of 387940 is about 72.9325704992.

The spelling of 387940 in words is "three hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 163 170 238 326 340 476 595 652 815 1141 1190 1630 2282 2380 2771 3260 4564 5542 5705 11084 11410 13855 19397 22820 27710 38794 55420 77588 96985 193970 387940