Search a number
-
+
3317498064 = 2432127283641
BaseRepresentation
bin1100010110111101…
…0000000011010000
322120012110100210200
43011233100003100
523243234414224
61305105255200
7145132161006
oct30557200320
98505410720
103317498064
111452706441
12787034500
1340b3caa0a
14236852a76
151463ac5c9
hexc5bd00d0

3317498064 has 120 divisors (see below), whose sum is σ = 9405207552. Its totient is φ = 1091543040.

The previous prime is 3317498053. The next prime is 3317498071. The reversal of 3317498064 is 4608947133.

It is a super-2 number, since 2×33174980642 = 22011586809287496192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5175184 + ... + 5175824.

Almost surely, 23317498064 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 3317498064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702603776).

3317498064 is an abundant number, since it is smaller than the sum of its proper divisors (6087709488).

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

3317498064 is a wasteful number, since it uses less digits than its factorization.

3317498064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3317498064 is about 57597.7262051203. The cubic root of 3317498064 is about 1491.4323514365.

The spelling of 3317498064 in words is "three billion, three hundred seventeen million, four hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 283 381 508 566 641 762 849 1016 1132 1143 1282 1524 1698 1923 2032 2264 2286 2547 2564 3048 3396 3846 4528 4572 5094 5128 5769 6096 6792 7692 9144 10188 10256 11538 13584 15384 18288 20376 23076 30768 35941 40752 46152 71882 81407 92304 107823 143764 162814 181403 215646 244221 287528 323469 325628 362806 431292 488442 544209 575056 646938 651256 725612 732663 862584 976884 1088418 1293876 1302512 1451224 1465326 1632627 1725168 1953768 2176836 2587752 2902448 2930652 3265254 3907536 4353672 5175504 5861304 6530508 8707344 11722608 13061016 23038181 26122032 46076362 69114543 92152724 138229086 184305448 207343629 276458172 368610896 414687258 552916344 829374516 1105832688 1658749032 3317498064