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2330754048 = 21033712043
BaseRepresentation
bin1000101011101100…
…0111110000000000
320000102201120111000
42022323013300000
514233133112143
61023140052000
7111521040210
oct21273076000
96012646430
102330754048
11a96717017
12550694000
132b1b5240c
14181796240
15d9948bd3
hex8aec7c00

2330754048 has 176 divisors, whose sum is σ = 7889301760. Its totient is φ = 665874432.

The previous prime is 2330754047. The next prime is 2330754089. The reversal of 2330754048 is 8404570332.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330754047) 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 15 ways as a sum of consecutive naturals, for example, 187515 + ... + 199557.

Almost surely, 22330754048 is an apocalyptic number.

2330754048 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 2330754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944650880).

2330754048 is an abundant number, since it is smaller than the sum of its proper divisors (5558547712).

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

2330754048 is a wasteful number, since it uses less digits than its factorization.

2330754048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2330754048 is about 48277.8836321560. The cubic root of 2330754048 is about 1325.8635022575.

The spelling of 2330754048 in words is "two billion, three hundred thirty million, seven hundred fifty-four thousand, forty-eight".