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350234000 = 24531710301
BaseRepresentation
bin10100111000000…
…010010110010000
3220102000201201122
4110320002112100
51204124442000
654430421412
711451640244
oct2470022620
9812021648
10350234000
1116a774a96
1299361868
135773886c
143472c424
1520b33085
hex14e02590

350234000 has 80 divisors (see below), whose sum is σ = 896768496. Its totient is φ = 131840000.

The previous prime is 350233999. The next prime is 350234009. The reversal of 350234000 is 432053.

It can be written as a sum of positive squares in 8 ways, for example, as 9314704 + 340919296 = 3052^2 + 18464^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 350234000.

It is not an unprimeable number, because it can be changed into a prime (350234009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28850 + ... + 39150.

Almost surely, 2350234000 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 350234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448384248).

350234000 is an abundant number, since it is smaller than the sum of its proper divisors (546534496).

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

350234000 is a wasteful number, since it uses less digits than its factorization.

350234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 350234000 is about 18714.5398019828. The cubic root of 350234000 is about 704.8868923049.

Adding to 350234000 its reverse (432053), we get a palindrome (350666053).

The spelling of 350234000 in words is "three hundred fifty million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 10301 17000 20602 34000 41204 51505 82408 103010 164816 175117 206020 257525 350234 412040 515050 700468 824080 875585 1030100 1287625 1400936 1751170 2060200 2575250 2801872 3502340 4120400 4377925 5150500 7004680 8755850 10301000 14009360 17511700 20602000 21889625 35023400 43779250 70046800 87558500 175117000 350234000