| Base | Representation |
|---|---|
| bin | 10111101000101… |
| … | …010101001010000 |
| 3 | 1000122011010200100 |
| 4 | 113220222221100 |
| 5 | 1303003131100 |
| 6 | 103203052400 |
| 7 | 12553334541 |
| oct | 2750525120 |
| 9 | 1018133610 |
| 10 | 396536400 |
| 11 | 19391a737 |
| 12 | b0971100 |
| 13 | 641cac30 |
| 14 | 3a9424c8 |
| 15 | 24c2c400 |
| hex | 17a2aa50 |
396536400 has 360 divisors, whose sum is σ = 1528643480. Its totient is φ = 94556160.
The previous prime is 396536383. The next prime is 396536443. The reversal of 396536400 is 4635693.
396536400 is a `hidden beast` number, since 3 + 9 + 6 + 5 + 3 + 640 + 0 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 22810176 + 373726224 = 4776^2 + 19332^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×3965364002 = 314482233049920000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1731486 + ... + 1731714.
Almost surely, 2396536400 is an apocalyptic number.
396536400 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 396536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764321740).
396536400 is an abundant number, since it is smaller than the sum of its proper divisors (1132107080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
396536400 is a wasteful number, since it uses less digits than its factorization.
396536400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 303 (or 289 counting only the distinct ones).
The product of its (nonzero) digits is 58320, while the sum is 36.
The square root of 396536400 is about 19913.2217383325. The cubic root of 396536400 is about 734.6734631705.
The spelling of 396536400 in words is "three hundred ninety-six million, five hundred thirty-six thousand, four hundred".
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