Search a number
-
+
4330072128 = 26329777671
BaseRepresentation
bin1000000100001011…
…11010100001000000
3102011202210110021210
410002011322201000
532331444302003
61553400250120
7212206001664
oct40205724100
912152713253
104330072128
111922238308
12a0a170940
1354011b275
142d11148a4
151a5224503
hex10217a840

4330072128 has 56 divisors (see below), whose sum is σ = 11851721280. Its totient is φ = 1393584640.

The previous prime is 4330072073. The next prime is 4330072133. The reversal of 4330072128 is 8212700334.

It is a super-3 number, since 3×43300721283 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4330072095 and 4330072104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383268 + ... + 394403.

It is an arithmetic number, because the mean of its divisors is an integer number (211637880).

Almost surely, 24330072128 is an apocalyptic number.

4330072128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4330072128 is an abundant number, since it is smaller than the sum of its proper divisors (7521649152).

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

4330072128 is a wasteful number, since it uses less digits than its factorization.

4330072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777715 (or 777705 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4330072128 is about 65803.2835654878. The cubic root of 4330072128 is about 1629.9153265010.

The spelling of 4330072128 in words is "four billion, three hundred thirty million, seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 777671 1555342 2333013 3110684 4666026 6221368 9332052 12442736 18664104 22552459 24885472 37328208 45104918 49770944 67657377 74656416 90209836 135314754 149312832 180419672 270629508 360839344 541259016 721678688 1082518032 1443357376 2165036064 4330072128