Search a number
-
+
3317314104 = 23321323223691
BaseRepresentation
bin1100010110111010…
…0011001000111000
322120012010000110100
43011232203020320
523243213022404
61305101315400
7145130463456
oct30556431070
98505100410
103317314104
1114525a0205
12786b65b60
1340b365070
142368059d6
15146372d39
hexc5ba3238

3317314104 has 192 divisors, whose sum is σ = 10156124160. Its totient is φ = 970548480.

The previous prime is 3317314103. The next prime is 3317314157. The reversal of 3317314104 is 4014137133.

3317314104 is a `hidden beast` number, since 331 + 7 + 314 + 10 + 4 = 666.

It is a super-2 number, since 2×33173141042 = 22009145729194645632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3317314103) 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, 4800399 + ... + 4801089.

It is an arithmetic number, because the mean of its divisors is an integer number (52896480).

Almost surely, 23317314104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3317314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078062080).

3317314104 is an abundant number, since it is smaller than the sum of its proper divisors (6838810056).

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

3317314104 is a wasteful number, since it uses less digits than its factorization.

3317314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3317314104 is about 57596.1292449415. The cubic root of 3317314104 is about 1491.4047835765.

The spelling of 3317314104 in words is "three billion, three hundred seventeen million, three hundred fourteen thousand, one hundred four".