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234880128 = 2733721973
BaseRepresentation
bin11011111111111…
…11110010000000
3121100222010222000
431333333302000
5440112131003
635150144000
75551306500
oct1577776200
9540863860
10234880128
11110646a0a
12667b2000
133987a632
14232a1a00
15159491a3
hexdfffc80

234880128 has 384 divisors, whose sum is σ = 860472000. Its totient is φ = 62705664.

The previous prime is 234880127. The next prime is 234880133. The reversal of 234880128 is 821088432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 234880092 and 234880101.

It is not an unprimeable number, because it can be changed into a prime (234880127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3217500 + ... + 3217572.

Almost surely, 2234880128 is an apocalyptic number.

234880128 is a gapful number since it is divisible by the number (28) 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 234880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430236000).

234880128 is an abundant number, since it is smaller than the sum of its proper divisors (625591872).

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

234880128 is a wasteful number, since it uses less digits than its factorization.

234880128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 234880128 is about 15325.7994244999. The cubic root of 234880128 is about 616.9956350763.

The spelling of 234880128 in words is "two hundred thirty-four million, eight hundred eighty thousand, one hundred twenty-eight".