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148320438 = 23747227331
BaseRepresentation
bin10001101011100…
…11000010110110
3101100002110101120
420311303002312
5300432223223
622415004410
73450463050
oct1065630266
9340073346
10148320438
11767a5382
1241809706
1324961596
14159ac8d0
15d04bbe3
hex8d730b6

148320438 has 64 divisors (see below), whose sum is σ = 348807168. Its totient is φ = 41168160.

The previous prime is 148320437. The next prime is 148320439. The reversal of 148320438 is 834023841.

148320438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148320437) and next prime (148320439).

It is a junction number, because it is equal to n+sod(n) for n = 148320399 and 148320408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148320437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447933 + ... + 448263.

It is an arithmetic number, because the mean of its divisors is an integer number (5450112).

Almost surely, 2148320438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148320438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174403584).

148320438 is an abundant number, since it is smaller than the sum of its proper divisors (200486730).

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

148320438 is a wasteful number, since it uses less digits than its factorization.

148320438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 148320438 is about 12178.6878603567. The cubic root of 148320438 is about 529.3387243446.

The spelling of 148320438 in words is "one hundred forty-eight million, three hundred twenty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 227 282 329 331 454 658 662 681 987 993 1362 1589 1974 1986 2317 3178 4634 4767 6951 9534 10669 13902 15557 21338 31114 32007 46671 64014 74683 75137 93342 108899 149366 150274 217798 224049 225411 326697 448098 450822 525959 653394 1051918 1577877 3155754 3531439 7062878 10594317 21188634 24720073 49440146 74160219 148320438