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148723344 = 243371117263
BaseRepresentation
bin10001101110101…
…01011010010000
3101100211221002000
420313111122100
5301033121334
622431354000
73454061520
oct1067253220
9340757060
10148723344
1176a50060
1241982900
1324a72aa3
1415a75680
15d0cb299
hex8dd5690

148723344 has 320 divisors, whose sum is σ = 565678080. Its totient is φ = 36218880.

The previous prime is 148723343. The next prime is 148723349. The reversal of 148723344 is 443327841.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 148723299 and 148723308.

It is not an unprimeable number, because it can be changed into a prime (148723343) 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 63 ways as a sum of consecutive naturals, for example, 565357 + ... + 565619.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2148723344 is an apocalyptic number.

148723344 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 148723344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282839040).

148723344 is an abundant number, since it is smaller than the sum of its proper divisors (416954736).

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

148723344 is a wasteful number, since it uses less digits than its factorization.

148723344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 148723344 is about 12195.2180792309. The cubic root of 148723344 is about 529.8175995097.

The spelling of 148723344 in words is "one hundred forty-eight million, seven hundred twenty-three thousand, three hundred forty-four".