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148634304 = 26371347181
BaseRepresentation
bin10001101101111…
…11101011000000
3101100200101221020
420312333223000
5301022244204
622425425440
73453241110
oct1066775300
9340611836
10148634304
117699a175
124193b280
1324a413c0
1415a51040
15d0aebd9
hex8dbfac0

148634304 has 224 divisors, whose sum is σ = 497043456. Its totient is φ = 38154240.

The previous prime is 148634293. The next prime is 148634363. The reversal of 148634304 is 403436841.

It is a happy number.

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

It is a congruent number.

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, 821094 + ... + 821274.

It is an arithmetic number, because the mean of its divisors is an integer number (2218944).

Almost surely, 2148634304 is an apocalyptic number.

148634304 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 148634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248521728).

148634304 is an abundant number, since it is smaller than the sum of its proper divisors (348409152).

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

148634304 is a wasteful number, since it uses less digits than its factorization.

148634304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 148634304 is about 12191.5669214421. The cubic root of 148634304 is about 529.7118452607.

The spelling of 148634304 in words is "one hundred forty-eight million, six hundred thirty-four thousand, three hundred four".