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150401312 = 2517833331
BaseRepresentation
bin10001111011011…
…11000100100000
3101111000011210222
420331233010200
5302000320222
622531342212
73504250535
oct1075570440
9344004728
10150401312
1177996806
1242451968
132520c779
1415d90d8c
15d30d542
hex8f6f120

150401312 has 48 divisors (see below), whose sum is σ = 317392992. Its totient is φ = 69903360.

The previous prime is 150401311. The next prime is 150401323. The reversal of 150401312 is 213104051.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (150401311) 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 7 ways as a sum of consecutive naturals, for example, 43487 + ... + 46817.

It is an arithmetic number, because the mean of its divisors is an integer number (6612354).

Almost surely, 2150401312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158696496).

150401312 is an abundant number, since it is smaller than the sum of its proper divisors (166991680).

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

150401312 is a wasteful number, since it uses less digits than its factorization.

150401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 150401312 is about 12263.8212641900. The cubic root of 150401312 is about 531.8027044615.

Adding to 150401312 its reverse (213104051), we get a palindrome (363505363).

The spelling of 150401312 in words is "one hundred fifty million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 83 136 166 272 332 544 664 1328 1411 2656 2822 3331 5644 6662 11288 13324 22576 26648 45152 53296 56627 106592 113254 226508 276473 453016 552946 906032 1105892 1812064 2211784 4423568 4700041 8847136 9400082 18800164 37600328 75200656 150401312