| Base | Representation |
|---|---|
| bin | 10101100011100… |
| … | …111001001000100 |
| 3 | 221012112002000000 |
| 4 | 111203213021010 |
| 5 | 1220041010100 |
| 6 | 55515321300 |
| 7 | 11651014203 |
| oct | 2543471104 |
| 9 | 835462000 |
| 10 | 361656900 |
| 11 | 176167200 |
| 12 | a1150230 |
| 13 | 59c07c87 |
| 14 | 3606323a |
| 15 | 21b3c900 |
| hex | 158e7244 |
361656900 has 378 divisors, whose sum is σ = 1324893066. Its totient is φ = 85536000.
The previous prime is 361656851. The next prime is 361656901. The reversal of 361656900 is 9656163.
It can be written as a sum of positive squares in 3 ways, for example, as 352836 + 361304064 = 594^2 + 19008^2 .
It is a super-4 number, since 4×3616569004 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (361656901) by changing a digit.
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 125 ways as a sum of consecutive naturals, for example, 8820880 + ... + 8820920.
Almost surely, 2361656900 is an apocalyptic number.
361656900 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 361656900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662446533).
361656900 is an abundant number, since it is smaller than the sum of its proper divisors (963236166).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
361656900 is a wasteful number, since it uses less digits than its factorization.
361656900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 95 (or 62 counting only the distinct ones).
The product of its (nonzero) digits is 29160, while the sum is 36.
The square root of 361656900 is about 19017.2789851756. The cubic root of 361656900 is about 712.4683642463.
It can be divided in two parts, 3616 and 56900, that added together give a square (60516 = 2462).
The spelling of 361656900 in words is "three hundred sixty-one million, six hundred fifty-six thousand, nine hundred".
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