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148344000 = 263537883
BaseRepresentation
bin10001101011110…
…00110011000000
3101100010122201020
420311320303000
5300434002000
622415305440
73450621540
oct1065706300
9340118636
10148344000
1176811052
124181b280
132496c21c
14159b7320
15d053ba0
hex8d78cc0

148344000 has 224 divisors, whose sum is σ = 560441856. Its totient is φ = 33868800.

The previous prime is 148343971. The next prime is 148344037. The reversal of 148344000 is 443841.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167559 + ... + 168441.

Almost surely, 2148344000 is an apocalyptic number.

148344000 is a gapful number since it is divisible by the number (10) 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 148344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280220928).

148344000 is an abundant number, since it is smaller than the sum of its proper divisors (412097856).

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

148344000 is an equidigital number, since it uses as much as digits as its factorization.

148344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 148344000 is about 12179.6551675325. The cubic root of 148344000 is about 529.3667528906.

Adding to 148344000 its reverse (443841), we get a palindrome (148787841).

The spelling of 148344000 in words is "one hundred forty-eight million, three hundred forty-four thousand".