Search a number
-
+
3303463680 = 2832511131199
BaseRepresentation
bin1100010011100110…
…1101101100000000
322112020001100020200
43010321231230000
523231141314210
61303444405200
7144601656306
oct30471555400
98466040220
103303463680
1114457a0180
127823a6800
13408525a4a
14234a3c276
151450390c0
hexc4e6db00

3303463680 has 432 divisors, whose sum is σ = 12627014400. Its totient is φ = 790732800.

The previous prime is 3303463673. The next prime is 3303463697. The reversal of 3303463680 is 863643033.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16600221 + ... + 16600419.

It is an arithmetic number, because the mean of its divisors is an integer number (29229200).

Almost surely, 23303463680 is an apocalyptic number.

3303463680 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 3303463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313507200).

3303463680 is an abundant number, since it is smaller than the sum of its proper divisors (9323550720).

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

3303463680 is a wasteful number, since it uses less digits than its factorization.

3303463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3303463680 is about 57475.7660236034. The cubic root of 3303463680 is about 1489.3262542564.

The spelling of 3303463680 in words is "three billion, three hundred three million, four hundred sixty-three thousand, six hundred eighty".