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364228050 = 23528927283
BaseRepresentation
bin10101101101011…
…010110111010010
3221101100200221210
4111231122313102
51221220244200
6100050400550
712011613234
oct2555326722
9841320853
10364228050
11177662a1a
12a1b90156
135a5c8374
1436532254
1521e99650
hex15b5add2

364228050 has 48 divisors (see below), whose sum is σ = 913468320. Its totient is φ = 96032640.

The previous prime is 364228027. The next prime is 364228079. The reversal of 364228050 is 50822463.

364228050 is digitally balanced in base 3, 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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 364227999 and 364228017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292 + ... + 26991.

It is an arithmetic number, because the mean of its divisors is an integer number (19030590).

Almost surely, 2364228050 is an apocalyptic number.

364228050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 364228050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456734160).

364228050 is an abundant number, since it is smaller than the sum of its proper divisors (549240270).

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

364228050 is a wasteful number, since it uses less digits than its factorization.

364228050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27387 (or 27382 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 364228050 is about 19084.7596264663. The cubic root of 364228050 is about 714.1527774509.

The spelling of 364228050 in words is "three hundred sixty-four million, two hundred twenty-eight thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 89 150 178 267 445 534 890 1335 2225 2670 4450 6675 13350 27283 54566 81849 136415 163698 272830 409245 682075 818490 1364150 2046225 2428187 4092450 4856374 7284561 12140935 14569122 24281870 36422805 60704675 72845610 121409350 182114025 364228050