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150454304 = 25721121361
BaseRepresentation
bin10001111011111…
…00000000100000
3101111002212111122
420331330000200
5302004014204
622532431412
73504561200
oct1075740040
9344085448
10150454304
1177a22600
1242478568
132522a920
1415da6400
15d31e0be
hex8f7c020

150454304 has 216 divisors, whose sum is σ = 414559404. Its totient is φ = 53222400.

The previous prime is 150454261. The next prime is 150454319. The reversal of 150454304 is 403454051.

It can be written as a sum of positive squares in 2 ways, for example, as 116208400 + 34245904 = 10780^2 + 5852^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2466434 + ... + 2466494.

Almost surely, 2150454304 is an apocalyptic number.

150454304 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 150454304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207279702).

150454304 is an abundant number, since it is smaller than the sum of its proper divisors (264105100).

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

150454304 is a wasteful number, since it uses less digits than its factorization.

150454304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 150454304 is about 12265.9815750718. The cubic root of 150454304 is about 531.8651551131.

It can be divided in two parts, 150 and 454304, that added together give a palindrome (454454).

The spelling of 150454304 in words is "one hundred fifty million, four hundred fifty-four thousand, three hundred four".