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4380148224 = 2934313407
BaseRepresentation
bin1000001010001001…
…11100001000000000
3102022021000120210000
410011010330020000
532432304220344
62002345440000
7213354434304
oct40504741000
912267016700
104380148224
111948530211
12a22aa0000
1354a6021aa
142d7a2bd04
151a9816a69
hex10513c200

4380148224 has 200 divisors, whose sum is σ = 13499278848. Its totient is φ = 1412536320.

The previous prime is 4380148219. The next prime is 4380148229. The reversal of 4380148224 is 4228410834.

It is an interprime number because it is at equal distance from previous prime (4380148219) and next prime (4380148229).

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

It is not an unprimeable number, because it can be changed into a prime (4380148229) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1283929 + ... + 1287335.

Almost surely, 24380148224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4380148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749639424).

4380148224 is an abundant number, since it is smaller than the sum of its proper divisors (9119130624).

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

4380148224 is an equidigital number, since it uses as much as digits as its factorization.

4380148224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4380148224 is about 66182.6882500250. The cubic root of 4380148224 is about 1636.1744343671.

The spelling of 4380148224 in words is "four billion, three hundred eighty million, one hundred forty-eight thousand, two hundred twenty-four".