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150304032 = 2533414243
BaseRepresentation
bin10001111010101…
…11010100100000
3101110211020101000
420331113110200
5301434212112
622525312000
73503364114
oct1075272440
9343736330
10150304032
117792a70a
1242405600
13251a73c8
1415d67744
15d2de7dc
hex8f57520

150304032 has 96 divisors (see below), whose sum is σ = 449184960. Its totient is φ = 48867840.

The previous prime is 150304031. The next prime is 150304039. The reversal of 150304032 is 230403051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150303996 and 150304014.

It is not an unprimeable number, because it can be changed into a prime (150304031) 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 15 ways as a sum of consecutive naturals, for example, 33303 + ... + 37545.

It is an arithmetic number, because the mean of its divisors is an integer number (4679010).

Almost surely, 2150304032 is an apocalyptic number.

150304032 is a gapful number since it is divisible by the number (12) 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 150304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224592480).

150304032 is an abundant number, since it is smaller than the sum of its proper divisors (298880928).

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

150304032 is a wasteful number, since it uses less digits than its factorization.

150304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 150304032 is about 12259.8544852702. The cubic root of 150304032 is about 531.6880225609.

Adding to 150304032 its reverse (230403051), we get a palindrome (380707083).

The spelling of 150304032 in words is "one hundred fifty million, three hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4243 4428 5904 8486 8856 11808 12729 16972 17712 25458 33944 35424 38187 50916 67888 76374 101832 114561 135776 152748 173963 203664 229122 305496 347926 407328 458244 521889 610992 695852 916488 1043778 1221984 1391704 1565667 1832976 2087556 2783408 3131334 3665952 4175112 4697001 5566816 6262668 8350224 9394002 12525336 16700448 18788004 25050672 37576008 50101344 75152016 150304032