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4302970128 = 243519311879
BaseRepresentation
bin1000000000111101…
…00001110100010000
3102002212210112100000
410000132201310100
532303030021003
61550551330000
7211426433262
oct40036416420
912085715300
104302970128
111908a07166
12a01080900
1353761c392
142cb69bb32
151a2b6e1a3
hex1007a1d10

4302970128 has 240 divisors, whose sum is σ = 13576908800. Its totient is φ = 1314299520.

The previous prime is 4302970103. The next prime is 4302970169. The reversal of 4302970128 is 8210792034.

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 = 4302970092 and 4302970101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2289093 + ... + 2290971.

Almost surely, 24302970128 is an apocalyptic number.

4302970128 is a gapful number since it is divisible by the number (48) 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 4302970128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788454400).

4302970128 is an abundant number, since it is smaller than the sum of its proper divisors (9273938672).

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

4302970128 is a wasteful number, since it uses less digits than its factorization.

4302970128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4302970128 is about 65597.0283473268. The cubic root of 4302970128 is about 1626.5076504804.

The spelling of 4302970128 in words is "four billion, three hundred two million, nine hundred seventy thousand, one hundred twenty-eight".