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150304 = 2571161
BaseRepresentation
bin100100101100100000
321122011211
4210230200
514302204
63115504
71164130
oct445440
9248154
10150304
11a2a20
1272b94
135354b
143cac0
152e804
hex24b20

150304 has 48 divisors (see below), whose sum is σ = 374976. Its totient is φ = 57600.

The previous prime is 150301. The next prime is 150323. The reversal of 150304 is 403051.

150304 = T34 + T35 + ... + T97.

It is not an unprimeable number, because it can be changed into a prime (150301) 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, 2434 + ... + 2494.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2150304 is an apocalyptic number.

150304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

150304 is an abundant number, since it is smaller than the sum of its proper divisors (224672).

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

150304 is a wasteful number, since it uses less digits than its factorization.

150304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 150304 is about 387.6905982868. The cubic root of 150304 is about 53.1687984828.

Adding to 150304 its reverse (403051), we get a palindrome (553355).

It can be divided in two parts, 150 and 304, that added together give a palindrome (454).

The spelling of 150304 in words is "one hundred fifty thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 77 88 112 122 154 176 224 244 308 352 427 488 616 671 854 976 1232 1342 1708 1952 2464 2684 3416 4697 5368 6832 9394 10736 13664 18788 21472 37576 75152 150304