Search a number
-
+
38233030320 = 243454323191
BaseRepresentation
bin100011100110110111…
…011011111010110000
310122200112012011210000
4203212313123322300
51111300123432240
625321454310000
72522310252462
oct434667337260
9118615164700
1038233030320
111523a604621
1274b01b8300
1337b3c88884
141bc9a52132
15edb805430
hex8e6ddbeb0

38233030320 has 300 divisors, whose sum is σ = 135991514736. Its totient is φ = 9955249920.

The previous prime is 38233030309. The next prime is 38233030349. The reversal of 38233030320 is 2303033283.

38233030320 is a `hidden beast` number, since 3 + 8 + 2 + 330 + 3 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11979925 + ... + 11983115.

Almost surely, 238233030320 is an apocalyptic number.

38233030320 is a gapful number since it is divisible by the number (30) 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 38233030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67995757368).

38233030320 is an abundant number, since it is smaller than the sum of its proper divisors (97758484416).

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

38233030320 is a wasteful number, since it uses less digits than its factorization.

38233030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The spelling of 38233030320 in words is "thirty-eight billion, two hundred thirty-three million, thirty thousand, three hundred twenty".