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395640 = 233257157
BaseRepresentation
bin1100000100101111000
3202002201100
41200211320
5100130030
612251400
73235320
oct1404570
9662640
10395640
11250283
12170b60
1310b10b
14a4280
157c360
hex60978

395640 has 96 divisors (see below), whose sum is σ = 1478880. Its totient is φ = 89856.

The previous prime is 395627. The next prime is 395657. The reversal of 395640 is 46593.

It is a happy number.

It is a Cunningham number, because it is equal to 6292-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2442 + ... + 2598.

It is an arithmetic number, because the mean of its divisors is an integer number (15405).

2395640 is an apocalyptic number.

395640 is a gapful number since it is divisible by the number (30) 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 395640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739440).

395640 is an abundant number, since it is smaller than the sum of its proper divisors (1083240).

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

395640 is a wasteful number, since it uses less digits than its factorization.

395640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 395640 is about 628.9992050869. Note that the first 3 decimals coincide. The cubic root of 395640 is about 73.4119450845.

It can be divided in two parts, 395 and 640, that added together give a triangular number (1035 = T45).

The spelling of 395640 in words is "three hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 157 168 180 210 252 280 314 315 360 420 471 504 628 630 785 840 942 1099 1256 1260 1413 1570 1884 2198 2355 2520 2826 3140 3297 3768 4396 4710 5495 5652 6280 6594 7065 8792 9420 9891 10990 11304 13188 14130 16485 18840 19782 21980 26376 28260 32970 39564 43960 49455 56520 65940 79128 98910 131880 197820 395640