Search a number
-
+
150234304 = 26111712553
BaseRepresentation
bin10001111010001…
…10010011000000
3101110200200201111
420331012103000
5301424444204
622524013104
73502653613
oct1075062300
9343620644
10150234304
1177892290
1242391194
132518174c
1415d4a17a
15d2c8d04
hex8f464c0

150234304 has 56 divisors (see below), whose sum is σ = 344381328. Its totient is φ = 64266240.

The previous prime is 150234299. The next prime is 150234307. The reversal of 150234304 is 403432051.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (150234307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5692 + ... + 18244.

Almost surely, 2150234304 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 150234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172190664).

150234304 is an abundant number, since it is smaller than the sum of its proper divisors (194147024).

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

150234304 is a wasteful number, since it uses less digits than its factorization.

150234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12593 (or 12583 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 150234304 is about 12257.0104022147. The cubic root of 150234304 is about 531.6057908416.

Adding to 150234304 its reverse (403432051), we get a palindrome (553666355).

The spelling of 150234304 in words is "one hundred fifty million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 12553 25106 50212 100424 138083 200848 213401 276166 401696 426802 552332 803392 853604 1104664 1707208 2209328 2347411 3414416 4418656 4694822 6828832 8837312 9389644 13657664 18779288 37558576 75117152 150234304