Search a number
-
+
3380821776 = 2432592271753
BaseRepresentation
bin1100100110000011…
…0011111100010000
322201121121112121100
43021200303330100
523410442244101
61315250424400
7146531340153
oct31140637420
98647545540
103380821776
111485427492
127a4292100
1341b56c777
14241017c9a
1514bc19e86
hexc9833f10

3380821776 has 120 divisors (see below), whose sum is σ = 9669872160. Its totient is φ = 1102330368.

The previous prime is 3380821733. The next prime is 3380821793. The reversal of 3380821776 is 6771280833.

It is a super-2 number, since 2×33808217762 = 22859911762151588352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1927716 + ... + 1929468.

It is an arithmetic number, because the mean of its divisors is an integer number (80582268).

Almost surely, 23380821776 is an apocalyptic number.

3380821776 is a gapful number since it is divisible by the number (36) 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 3380821776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834936080).

3380821776 is an abundant number, since it is smaller than the sum of its proper divisors (6289050384).

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

3380821776 is a wasteful number, since it uses less digits than its factorization.

3380821776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3380821776 is about 58144.8344739238. The cubic root of 3380821776 is about 1500.8619898874.

The spelling of 3380821776 in words is "three billion, three hundred eighty million, eight hundred twenty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 227 236 354 454 472 531 681 708 908 944 1062 1362 1416 1753 1816 2043 2124 2724 2832 3506 3632 4086 4248 5259 5448 7012 8172 8496 10518 10896 13393 14024 15777 16344 21036 26786 28048 31554 32688 40179 42072 53572 63108 80358 84144 103427 107144 120537 126216 160716 206854 214288 241074 252432 310281 321432 397931 413708 482148 620562 642864 795862 827416 930843 964296 1193793 1241124 1591724 1654832 1861686 1928592 2387586 2482248 3183448 3581379 3723372 4775172 4964496 6366896 7162758 7446744 9550344 14325516 14893488 19100688 23477929 28651032 46955858 57302064 70433787 93911716 140867574 187823432 211301361 281735148 375646864 422602722 563470296 845205444 1126940592 1690410888 3380821776