Search a number
-
+
3289470912 = 263471319367
BaseRepresentation
bin1100010000010001…
…0101011111000000
322111020201102210000
43010010111133000
523214101032122
61302224440000
7144342020130
oct30404253700
98436642700
103289470912
111438903202
12779779000
134056669c0
14232c38ac0
15143bc30ac
hexc41157c0

3289470912 has 560 divisors, whose sum is σ = 12667325440. Its totient is φ = 819652608.

The previous prime is 3289470901. The next prime is 3289470929. The reversal of 3289470912 is 2190749823.

It is a super-3 number, since 3×32894709123 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8962953 + ... + 8963319.

It is an arithmetic number, because the mean of its divisors is an integer number (22620224).

Almost surely, 23289470912 is an apocalyptic number.

3289470912 is a gapful number since it is divisible by the number (32) 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 3289470912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333662720).

3289470912 is an abundant number, since it is smaller than the sum of its proper divisors (9377854528).

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

3289470912 is a wasteful number, since it uses less digits than its factorization.

3289470912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3289470912 is about 57353.9093000643. The cubic root of 3289470912 is about 1487.2204553613.

The spelling of 3289470912 in words is "three billion, two hundred eighty-nine million, four hundred seventy thousand, nine hundred twelve".