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350103400 = 23526128697
BaseRepresentation
bin10100110111100…
…010011101101000
3220101210002120121
4110313202131220
51204111302100
654423533024
711450554423
oct2467423550
9811702517
10350103400
1116a695959
12992ba174
13576c129a
14346d69ba
1520b0951a
hex14de2768

350103400 has 48 divisors (see below), whose sum is σ = 827363340. Its totient is φ = 137740800.

The previous prime is 350103373. The next prime is 350103407. The reversal of 350103400 is 4301053.

350103400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3175524 + 346927876 = 1782^2 + 18626^2 .

It is not an unprimeable number, because it can be changed into a prime (350103407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2149 + ... + 26548.

Almost surely, 2350103400 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 350103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413681670).

350103400 is an abundant number, since it is smaller than the sum of its proper divisors (477259940).

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

350103400 is a wasteful number, since it uses less digits than its factorization.

350103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28774 (or 28765 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 350103400 is about 18711.0502110384. The cubic root of 350103400 is about 704.7992654867.

Adding to 350103400 its reverse (4301053), we get a palindrome (354404453).

The spelling of 350103400 in words is "three hundred fifty million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 28697 57394 114788 143485 229576 286970 573940 717425 1147880 1434850 1750517 2869700 3501034 5739400 7002068 8752585 14004136 17505170 35010340 43762925 70020680 87525850 175051700 350103400