Search a number
-
+
350213456 = 2423979811
BaseRepresentation
bin10100110111111…
…101010101010000
3220101222200112202
4110313331111100
51204123312311
654430142332
711451523325
oct2467752520
9811880482
10350213456
1116a76060a
12993519a8
135772c3c8
1434724b4c
1520b2be3b
hex14dfd550

350213456 has 40 divisors (see below), whose sum is σ = 715412544. Its totient is φ = 165749760.

The previous prime is 350213429. The next prime is 350213459. The reversal of 350213456 is 654312053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350213459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30791 + ... + 40601.

Almost surely, 2350213456 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 350213456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357706272).

350213456 is an abundant number, since it is smaller than the sum of its proper divisors (365199088).

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

350213456 is a wasteful number, since it uses less digits than its factorization.

350213456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9939 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 350213456 is about 18713.9909158896. The cubic root of 350213456 is about 704.8731096344.

The spelling of 350213456 in words is "three hundred fifty million, two hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 97 184 194 368 388 776 1552 2231 4462 8924 9811 17848 19622 35696 39244 78488 156976 225653 451306 902612 951667 1805224 1903334 3610448 3806668 7613336 15226672 21888341 43776682 87553364 175106728 350213456