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345021400 = 23523494943
BaseRepresentation
bin10100100100001…
…001101111011000
3220001012220101101
4110210021233120
51201311141100
654123001144
711356430203
oct2444115730
9801186341
10345021400
11167834759
12976691b4
1356632099
1433b7293a
152045386a
hex14909bd8

345021400 has 48 divisors (see below), whose sum is σ = 804636000. Its totient is φ = 137585280.

The previous prime is 345021389. The next prime is 345021401. The reversal of 345021400 is 4120543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345021401) 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 11 ways as a sum of consecutive naturals, for example, 67329 + ... + 72271.

It is an arithmetic number, because the mean of its divisors is an integer number (16763250).

Almost surely, 2345021400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402318000).

345021400 is an abundant number, since it is smaller than the sum of its proper divisors (459614600).

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

345021400 is a wasteful number, since it uses less digits than its factorization.

345021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 345021400 is about 18574.7516807090. The cubic root of 345021400 is about 701.3724095566.

Adding to 345021400 its reverse (4120543), we get a palindrome (349141943).

The spelling of 345021400 in words is "three hundred forty-five million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 349 698 1396 1745 2792 3490 4943 6980 8725 9886 13960 17450 19772 24715 34900 39544 49430 69800 98860 123575 197720 247150 494300 988600 1725107 3450214 6900428 8625535 13800856 17251070 34502140 43127675 69004280 86255350 172510700 345021400