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350021300 = 225229137881
BaseRepresentation
bin10100110111001…
…110011010110100
3220101121220221212
4110313032122310
51204101140200
654422100552
711450063156
oct2467163264
9811556855
10350021300
1116a63a202
129927a758
1357692ac5
14346b4ad6
1520ae0035
hex14dce6b4

350021300 has 72 divisors (see below), whose sum is σ = 792371160. Its totient is φ = 134041600.

The previous prime is 350021293. The next prime is 350021303. The reversal of 350021300 is 3120053.

It can be written as a sum of positive squares in 12 ways, for example, as 129914404 + 220106896 = 11398^2 + 14836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350021303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396860 + ... + 397740.

It is an arithmetic number, because the mean of its divisors is an integer number (11005155).

Almost surely, 2350021300 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 350021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396185580).

350021300 is an abundant number, since it is smaller than the sum of its proper divisors (442349860).

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

350021300 is a wasteful number, since it uses less digits than its factorization.

350021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 350021300 is about 18708.8561916543. The cubic root of 350021300 is about 704.7441688654.

Adding to 350021300 its reverse (3120053), we get a palindrome (353141353).

The spelling of 350021300 in words is "three hundred fifty million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 137 145 274 290 548 580 685 725 881 1370 1450 1762 2740 2900 3425 3524 3973 4405 6850 7946 8810 13700 15892 17620 19865 22025 25549 39730 44050 51098 79460 88100 99325 102196 120697 127745 198650 241394 255490 397300 482788 510980 603485 638725 1206970 1277450 2413940 2554900 3017425 3500213 6034850 7000426 12069700 14000852 17501065 35002130 70004260 87505325 175010650 350021300