Search a number
-
+
150322304 = 2711241443
BaseRepresentation
bin10001111010110…
…11110010000000
3101110212011102202
420331123302000
5301440303204
622525532332
73503501306
oct1075336200
9343764382
10150322304
1177942410
12424140a8
13251b2812
1415d70276
15d2e4e1e
hex8f5bc80

150322304 has 64 divisors (see below), whose sum is σ = 328790880. Its totient is φ = 67891200.

The previous prime is 150322261. The next prime is 150322307. The reversal of 150322304 is 403223051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150322307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339107 + ... + 339549.

Almost surely, 2150322304 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 150322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164395440).

150322304 is an abundant number, since it is smaller than the sum of its proper divisors (178468576).

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

150322304 is a wasteful number, since it uses less digits than its factorization.

150322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 150322304 is about 12260.5996590705. The cubic root of 150322304 is about 531.7095669151.

Adding to 150322304 its reverse (403223051), we get a palindrome (553545355).

It can be divided in two parts, 1 and 50322304, that added together give a palindrome (50322305).

The spelling of 150322304 in words is "one hundred fifty million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 241 352 443 482 704 886 964 1408 1772 1928 2651 3544 3856 4873 5302 7088 7712 9746 10604 14176 15424 19492 21208 28352 30848 38984 42416 56704 77968 84832 106763 155936 169664 213526 311872 339328 427052 623744 854104 1174393 1708208 2348786 3416416 4697572 6832832 9395144 13665664 18790288 37580576 75161152 150322304