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150974340 = 2235113147157
BaseRepresentation
bin10001111111110…
…10111110000100
3101112002021212020
420333322332010
5302122134330
622551523140
73512155266
oct1077727604
9345067766
10150974340
1178248290
12426894b0
132538053a
141609db36
15d3c3210
hex8ffaf84

150974340 has 192 divisors, whose sum is σ = 489259008. Its totient is φ = 34444800.

The previous prime is 150974339. The next prime is 150974353. The reversal of 150974340 is 43479051.

150974340 is digitally balanced in base 3, 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 (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 961542 + ... + 961698.

It is an arithmetic number, because the mean of its divisors is an integer number (2548224).

Almost surely, 2150974340 is an apocalyptic number.

150974340 is a gapful number since it is divisible by the number (10) 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 150974340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244629504).

150974340 is an abundant number, since it is smaller than the sum of its proper divisors (338284668).

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

150974340 is a wasteful number, since it uses less digits than its factorization.

150974340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 150974340 is about 12287.1615924916. The cubic root of 150974340 is about 532.4772367884.

The spelling of 150974340 in words is "one hundred fifty million, nine hundred seventy-four thousand, three hundred forty".