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300352 = 2613192
BaseRepresentation
bin1001001010101000000
3120021000011
41021111000
534102402
610234304
72360443
oct1112500
9507004
10300352
11195728
12125994
13a6930
147b65a
155ded7
hex49540

300352 has 42 divisors (see below), whose sum is σ = 677418. Its totient is φ = 131328.

The previous prime is 300347. The next prime is 300367. The reversal of 300352 is 253003.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 92416 = 456^2 + 304^2 .

It is a super-2 number, since 2×3003522 = 180422647808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

300352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15799 + ... + 15817.

It is an arithmetic number, because the mean of its divisors is an integer number (16129).

2300352 is an apocalyptic number.

300352 is a gapful number since it is divisible by the number (32) 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 300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338709).

300352 is an abundant number, since it is smaller than the sum of its proper divisors (377066).

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

300352 is a wasteful number, since it uses less digits than its factorization.

300352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 300352 is about 548.0437938705. The cubic root of 300352 is about 66.9694670412.

Multiplying 300352 by its sum of digits (13), we get a square (3904576 = 19762).

300352 divided by its sum of digits (13) gives a square (23104 = 1522).

Adding to 300352 its reverse (253003), we get a palindrome (553355).

The spelling of 300352 in words is "three hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 361 416 494 608 722 832 988 1216 1444 1976 2888 3952 4693 5776 7904 9386 11552 15808 18772 23104 37544 75088 150176 300352