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350481744 = 24322433901
BaseRepresentation
bin10100111000111…
…110110101010000
3220102111022120100
4110320332311100
51204210403434
654440012400
711454021444
oct2470766520
9812438510
10350481744
1116a924138
1299461100
13577c4562
1434794824
1520b81699
hex14e3ed50

350481744 has 30 divisors (see below), whose sum is σ = 980862506. Its totient is φ = 116827200.

The previous prime is 350481743. The next prime is 350481779. The reversal of 350481744 is 447184053.

350481744 is a `hidden beast` number, since 3 + 504 + 81 + 74 + 4 = 666.

350481744 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 only one way, i.e., 348195600 + 2286144 = 18660^2 + 1512^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 350481699 and 350481708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350481743) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1216807 + ... + 1217094.

Almost surely, 2350481744 is an apocalyptic number.

It is an amenable number.

350481744 is an abundant number, since it is smaller than the sum of its proper divisors (630380762).

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

350481744 is a wasteful number, since it uses less digits than its factorization.

350481744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433915 (or 2433906 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 350481744 is about 18721.1576565126. The cubic root of 350481744 is about 705.0530577240.

The spelling of 350481744 in words is "three hundred fifty million, four hundred eighty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2433901 4867802 7301703 9735604 14603406 19471208 21905109 29206812 38942416 43810218 58413624 87620436 116827248 175240872 350481744