Search a number
-
+
2985322032 = 2432711307877
BaseRepresentation
bin1011000111110000…
…0110011000110000
321201001102001221200
42301330012120300
522103220301112
61212121451200
7133656550530
oct26174063060
97631361850
102985322032
1112a21556a0
126b3940b00
13387645654
142046a54c0
15127144cdc
hexb1f06630

2985322032 has 240 divisors, whose sum is σ = 10462163712. Its totient is φ = 772001280.

The previous prime is 2985322013. The next prime is 2985322033. The reversal of 2985322032 is 2302235892.

2985322032 is a `hidden beast` number, since 2 + 98 + 532 + 2 + 0 + 32 = 666.

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 (2985322033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3403578 + ... + 3404454.

Almost surely, 22985322032 is an apocalyptic number.

2985322032 is a gapful number since it is divisible by the number (22) 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 2985322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231081856).

2985322032 is an abundant number, since it is smaller than the sum of its proper divisors (7476841680).

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

2985322032 is a wasteful number, since it uses less digits than its factorization.

2985322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2985322032 is about 54638.1005526363. The cubic root of 2985322032 is about 1439.8935800984.

The spelling of 2985322032 in words is "two billion, nine hundred eighty-five million, three hundred twenty-two thousand, thirty-two".