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345700352 = 211592861
BaseRepresentation
bin10100100110101…
…111100000000000
3220002111101201202
4110212233200000
51201444402402
654145320332
711365255514
oct2446574000
9802441652
10345700352
11168158878
12979360a8
135680c12a
1433cac144
1520539b02
hex149af800

345700352 has 48 divisors (see below), whose sum is σ = 703193400. Its totient is φ = 169861120.

The previous prime is 345700351. The next prime is 345700363. The reversal of 345700352 is 253007543.

345700352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345700351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119402 + ... + 122262.

Almost surely, 2345700352 is an apocalyptic number.

345700352 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 345700352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351596700).

345700352 is an abundant number, since it is smaller than the sum of its proper divisors (357493048).

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

345700352 is an equidigital number, since it uses as much as digits as its factorization.

345700352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 345700352 is about 18593.0189049546. The cubic root of 345700352 is about 701.8321744469.

Adding to 345700352 its reverse (253007543), we get a palindrome (598707895).

The spelling of 345700352 in words is "three hundred forty-five million, seven hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1024 1888 2048 2861 3776 5722 7552 11444 15104 22888 30208 45776 60416 91552 120832 168799 183104 337598 366208 675196 732416 1350392 1464832 2700784 2929664 5401568 5859328 10803136 21606272 43212544 86425088 172850176 345700352