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150055344 = 243267103151
BaseRepresentation
bin10001111000110…
…10100110110000
3101110100121020100
420330122212300
5301403232334
622520112400
73501310065
oct1074324660
9343317210
10150055344
117777a88a
1242305700
132511b15a
1415d00c6c
15d290c99
hex8f1a9b0

150055344 has 120 divisors (see below), whose sum is σ = 433202432. Its totient is φ = 48470400.

The previous prime is 150055343. The next prime is 150055357. The reversal of 150055344 is 443550051.

It is not an unprimeable number, because it can be changed into a prime (150055343) 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 23 ways as a sum of consecutive naturals, for example, 993669 + ... + 993819.

Almost surely, 2150055344 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 150055344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216601216).

150055344 is an abundant number, since it is smaller than the sum of its proper divisors (283147088).

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

150055344 is a wasteful number, since it uses less digits than its factorization.

150055344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 150055344 is about 12249.7079148852. The cubic root of 150055344 is about 531.3946229738.

The spelling of 150055344 in words is "one hundred fifty million, fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 103 134 144 151 201 206 268 302 309 402 412 453 536 603 604 618 804 824 906 927 1072 1206 1208 1236 1359 1608 1648 1812 1854 2412 2416 2472 2718 3216 3624 3708 4824 4944 5436 6901 7248 7416 9648 10117 10872 13802 14832 15553 20234 20703 21744 27604 30351 31106 40468 41406 46659 55208 60702 62109 62212 80936 82812 91053 93318 110416 121404 124218 124424 139977 161872 165624 182106 186636 242808 248436 248848 279954 331248 364212 373272 485616 496872 559908 728424 746544 993744 1042051 1119816 1456848 2084102 2239632 3126153 4168204 6252306 8336408 9378459 12504612 16672816 18756918 25009224 37513836 50018448 75027672 150055344