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150402312 = 23331813847
BaseRepresentation
bin10001111011011…
…11010100001000
3101111000020012000
420331233110020
5302000333222
622531351000
73504253464
oct1075572410
9344006160
10150402312
1177997535
1242452460
1325210068
1415d914a4
15d30d9ac
hex8f6f508

150402312 has 64 divisors (see below), whose sum is σ = 420201600. Its totient is φ = 49844160.

The previous prime is 150402289. The next prime is 150402319. The reversal of 150402312 is 213204051.

150402312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (150402319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37173 + ... + 41019.

It is an arithmetic number, because the mean of its divisors is an integer number (6565650).

Almost surely, 2150402312 is an apocalyptic number.

150402312 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 150402312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210100800).

150402312 is an abundant number, since it is smaller than the sum of its proper divisors (269799288).

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

150402312 is a wasteful number, since it uses less digits than its factorization.

150402312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 150402312 is about 12263.8620344490. The cubic root of 150402312 is about 531.8038830894.

Adding to 150402312 its reverse (213204051), we get a palindrome (363606363).

The spelling of 150402312 in words is "one hundred fifty million, four hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 724 1086 1448 1629 2172 3258 3847 4344 4887 6516 7694 9774 11541 13032 15388 19548 23082 30776 34623 39096 46164 69246 92328 103869 138492 207738 276984 415476 696307 830952 1392614 2088921 2785228 4177842 5570456 6266763 8355684 12533526 16711368 18800289 25067052 37600578 50134104 75201156 150402312