Search a number
-
+
3032997120 = 283252311447
BaseRepresentation
bin1011010011000111…
…1101110100000000
321211101010012212200
42310301331310000
522202421401440
61220543353200
7135106023126
oct26461756400
97741105780
103032997120
11131705869a
127078b2800
1339449876a
1420ab55916
1512b410c30
hexb4c7dd00

3032997120 has 216 divisors, whose sum is σ = 10951065216. Its totient is φ = 773566464.

The previous prime is 3032997089. The next prime is 3032997137. The reversal of 3032997120 is 217992303.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259237 + ... + 270683.

It is an arithmetic number, because the mean of its divisors is an integer number (50699376).

Almost surely, 23032997120 is an apocalyptic number.

3032997120 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 3032997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475532608).

3032997120 is an abundant number, since it is smaller than the sum of its proper divisors (7918068096).

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

3032997120 is a wasteful number, since it uses less digits than its factorization.

3032997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11497 (or 11480 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3032997120 is about 55072.6531047851. The cubic root of 3032997120 is about 1447.5180879553.

It can be divided in two parts, 30329 and 97120, that added together give a square (127449 = 3572).

The spelling of 3032997120 in words is "three billion, thirty-two million, nine hundred ninety-seven thousand, one hundred twenty".