Search a number
-
+
150303744 = 2103247347
BaseRepresentation
bin10001111010101…
…11010000000000
3101110211012222100
420331113100000
5301434204434
622525310400
73503363223
oct1075272000
9343735870
10150303744
117792a478
1242405400
13251a7236
1415d675ba
15d2de699
hex8f57400

150303744 has 132 divisors (see below), whose sum is σ = 444510144. Its totient is φ = 48893952.

The previous prime is 150303743. The next prime is 150303757. The reversal of 150303744 is 447303051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150303743) 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 11 ways as a sum of consecutive naturals, for example, 432979 + ... + 433325.

Almost surely, 2150303744 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 150303744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222255072).

150303744 is an abundant number, since it is smaller than the sum of its proper divisors (294206400).

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

150303744 is a wasteful number, since it uses less digits than its factorization.

150303744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 150303744 is about 12259.8427396113. The cubic root of 150303744 is about 531.6876829686.

Adding to 150303744 its reverse (447303051), we get a palindrome (597606795).

The spelling of 150303744 in words is "one hundred fifty million, three hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 347 376 384 423 512 564 576 694 752 768 846 1024 1041 1128 1152 1388 1504 1536 1692 2082 2256 2304 2776 3008 3072 3123 3384 4164 4512 4608 5552 6016 6246 6768 8328 9024 9216 11104 12032 12492 13536 16309 16656 18048 22208 24064 24984 27072 32618 33312 36096 44416 48128 48927 49968 54144 65236 66624 72192 88832 97854 99936 108288 130472 133248 144384 146781 177664 195708 199872 216576 260944 266496 293562 355328 391416 399744 433152 521888 532992 587124 782832 799488 1043776 1065984 1174248 1565664 1598976 2087552 2348496 3131328 3197952 4175104 4696992 6262656 8350208 9393984 12525312 16700416 18787968 25050624 37575936 50101248 75151872 150303744