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163394400 = 25352135237
BaseRepresentation
bin10011011110100…
…11001101100000
3102101110021222110
421233103031200
5313312110100
624114035320
74022554341
oct1157231540
9371407873
10163394400
11842606a4
1246878b40
1327b0b7a0
14179b40c8
15e528250
hex9bd3360

163394400 has 144 divisors (see below), whose sum is σ = 572869584. Its totient is φ = 40212480.

The previous prime is 163394383. The next prime is 163394401. The reversal of 163394400 is 4493361.

163394400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163394401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28582 + ... + 33818.

It is an arithmetic number, because the mean of its divisors is an integer number (3978261).

Almost surely, 2163394400 is an apocalyptic number.

163394400 is a gapful number since it is divisible by the number (10) 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 163394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286434792).

163394400 is an abundant number, since it is smaller than the sum of its proper divisors (409475184).

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

163394400 is a wasteful number, since it uses less digits than its factorization.

163394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 163394400 is about 12782.5818988184. The cubic root of 163394400 is about 546.6957813828.

The spelling of 163394400 in words is "one hundred sixty-three million, three hundred ninety-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 5237 6240 7800 10400 10474 15600 15711 20948 26185 31200 31422 41896 52370 62844 68081 78555 83792 104740 125688 130925 136162 157110 167584 204243 209480 251376 261850 272324 314220 340405 392775 408486 418960 502752 523700 544648 628440 680810 785550 816972 837920 1021215 1047400 1089296 1256880 1361620 1571100 1633944 1702025 2042430 2094800 2178592 2513760 2723240 3142200 3267888 3404050 4084860 4189600 5106075 5446480 6284400 6535776 6808100 8169720 10212150 10892960 12568800 13616200 16339440 20424300 27232400 32678880 40848600 54464800 81697200 163394400