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396900 = 22345272
BaseRepresentation
bin1100000111001100100
3202011110000
41200321210
5100200100
612301300
73242100
oct1407144
9664400
10396900
11251219
12171830
1310b86a
14a4900
157c900
hex60e64

396900 has 135 divisors (see below), whose sum is σ = 1496649. Its totient is φ = 90720.

The previous prime is 396887. The next prime is 396919. The reversal of 396900 is 9693.

396900 = 13 + 23 + ... + 353.

The square root of 396900 is 630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 254016 = 378^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×3969002 = 315059220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 56697 + ... + 56703.

2396900 is an apocalyptic number.

396900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

396900 is the 630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396900

396900 is an abundant number, since it is smaller than the sum of its proper divisors (1099749).

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

396900 is a wasteful number, since it uses less digits than its factorization.

396900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The cubic root of 396900 is about 73.4897945014.

It can be divided in two parts, 396 and 900, that added together give a 4-th power (1296 = 64).

The spelling of 396900 in words is "three hundred ninety-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 49 50 54 60 63 70 75 81 84 90 98 100 105 108 126 135 140 147 150 162 175 180 189 196 210 225 245 252 270 294 300 315 324 350 378 405 420 441 450 490 525 540 567 588 630 675 700 735 756 810 882 900 945 980 1050 1134 1225 1260 1323 1350 1470 1575 1620 1764 1890 2025 2100 2205 2268 2450 2646 2700 2835 2940 3150 3675 3780 3969 4050 4410 4725 4900 5292 5670 6300 6615 7350 7938 8100 8820 9450 11025 11340 13230 14175 14700 15876 18900 19845 22050 26460 28350 33075 39690 44100 56700 66150 79380 99225 132300 198450 396900