Search a number
-
+
3381308832 = 253116747791
BaseRepresentation
bin1100100110001010…
…1010110110100000
322201122112021201110
43021202222312200
523411103340312
61315305103320
7146535436146
oct31142526640
98648467643
103381308832
11148572a410
127a4487b40
1341b6b0375
14241103596
1514bcb443c
hexc98aada0

3381308832 has 96 divisors (see below), whose sum is σ = 9827564544. Its totient is φ = 1009324800.

The previous prime is 3381308803. The next prime is 3381308851. The reversal of 3381308832 is 2388031833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33813088322 = 22866498834722408448, which contains 22 as substring.

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, 46857 + ... + 94647.

It is an arithmetic number, because the mean of its divisors is an integer number (102370464).

Almost surely, 23381308832 is an apocalyptic number.

3381308832 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 3381308832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913782272).

3381308832 is an abundant number, since it is smaller than the sum of its proper divisors (6446255712).

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

3381308832 is a wasteful number, since it uses less digits than its factorization.

3381308832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47882 (or 47874 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3381308832 is about 58149.0226229126. The cubic root of 3381308832 is about 1500.9340600116.

It can be divided in two parts, 3381 and 308832, that added together give a palindrome (312213).

The spelling of 3381308832 in words is "three billion, three hundred eighty-one million, three hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 132 134 176 201 264 268 352 402 528 536 737 804 1056 1072 1474 1608 2144 2211 2948 3216 4422 5896 6432 8844 11792 17688 23584 35376 47791 70752 95582 143373 191164 286746 382328 525701 573492 764656 1051402 1146984 1529312 1577103 2102804 2293968 3154206 3201997 4205608 4587936 6308412 6403994 8411216 9605991 12616824 12807988 16822432 19211982 25233648 25615976 35221967 38423964 50467296 51231952 70443934 76847928 102463904 105665901 140887868 153695856 211331802 281775736 307391712 422663604 563551472 845327208 1127102944 1690654416 3381308832