Search a number
-
+
3387922512 = 2431323922717
BaseRepresentation
bin1100100111101111…
…1001100001010000
322202002222021222120
43021323321201100
523414302010022
61320102534240
7146645603052
oct31173714120
98662867876
103387922512
111489437367
127a6737380
1341cb877a0
14241d458d2
1514c66dd5c
hexc9ef9850

3387922512 has 80 divisors (see below), whose sum is σ = 9465227520. Its totient is φ = 1038030336.

The previous prime is 3387922403. The next prime is 3387922541. The reversal of 3387922512 is 2152297833.

3387922512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33879225122 = 22956037894632780288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137778 + ... + 160494.

It is an arithmetic number, because the mean of its divisors is an integer number (118315344).

Almost surely, 23387922512 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 3387922512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732613760).

3387922512 is an abundant number, since it is smaller than the sum of its proper divisors (6077305008).

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

3387922512 is a wasteful number, since it uses less digits than its factorization.

3387922512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22980 (or 22974 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 3387922512 is about 58205.8632098176. The cubic root of 3387922512 is about 1501.9120080036.

The spelling of 3387922512 in words is "three billion, three hundred eighty-seven million, nine hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 239 312 478 624 717 956 1434 1912 2868 3107 3824 5736 6214 9321 11472 12428 18642 22717 24856 37284 45434 49712 68151 74568 90868 136302 149136 181736 272604 295321 363472 545208 590642 885963 1090416 1181284 1771926 2362568 3543852 4725136 5429363 7087704 10858726 14175408 16288089 21717452 32576178 43434904 65152356 70581719 86869808 130304712 141163438 211745157 260609424 282326876 423490314 564653752 846980628 1129307504 1693961256 3387922512