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148075344 = 24333111057
BaseRepresentation
bin10001101001101…
…11001101010000
3101022122000012000
420310313031100
5300401402334
622405434000
73445422354
oct1064671520
9338560160
10148075344
117664821a
124170b900
13248a6b61
1415947464
15ceee299
hex8d37350

148075344 has 80 divisors (see below), whose sum is σ = 438781440. Its totient is φ = 47761920.

The previous prime is 148075339. The next prime is 148075351. The reversal of 148075344 is 443570841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 148075299 and 148075308.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7864 + ... + 18920.

It is an arithmetic number, because the mean of its divisors is an integer number (5484768).

Almost surely, 2148075344 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 148075344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219390720).

148075344 is an abundant number, since it is smaller than the sum of its proper divisors (290706096).

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

148075344 is a wasteful number, since it uses less digits than its factorization.

148075344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11105 (or 11093 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 148075344 is about 12168.6212859140. The cubic root of 148075344 is about 529.0469927510.

The spelling of 148075344 in words is "one hundred forty-eight million, seventy-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 11057 13392 22114 33171 44228 66342 88456 99513 132684 176912 199026 265368 298539 342767 398052 530736 597078 685534 796104 1028301 1194156 1371068 1592208 2056602 2388312 2742136 3084903 4113204 4776624 5484272 6169806 8226408 9254709 12339612 16452816 18509418 24679224 37018836 49358448 74037672 148075344