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350041400 = 23523075701
BaseRepresentation
bin10100110111010…
…011010100111000
3220101122221112022
4110313103110320
51204102311100
654422334012
711450205602
oct2467232470
9811587468
10350041400
1116a653315
129928a308
135769bcb7
14346bc172
1520ae5e85
hex14dd3538

350041400 has 48 divisors (see below), whose sum is σ = 816640440. Its totient is φ = 139536000.

The previous prime is 350041381. The next prime is 350041411. The reversal of 350041400 is 4140053.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58550 + ... + 64250.

Almost surely, 2350041400 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 350041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408320220).

350041400 is an abundant number, since it is smaller than the sum of its proper divisors (466599040).

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

350041400 is a wasteful number, since it uses less digits than its factorization.

350041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 350041400 is about 18709.3933626935. The cubic root of 350041400 is about 704.7576586031.

Adding to 350041400 its reverse (4140053), we get a palindrome (354181453).

The spelling of 350041400 in words is "three hundred fifty million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 307 614 1228 1535 2456 3070 5701 6140 7675 11402 12280 15350 22804 28505 30700 45608 57010 61400 114020 142525 228040 285050 570100 1140200 1750207 3500414 7000828 8751035 14001656 17502070 35004140 43755175 70008280 87510350 175020700 350041400