Search a number
-
+
3393880616 = 237413174663
BaseRepresentation
bin1100101001001010…
…1000001000101000
322202112011222222002
43022102220020220
523422313134431
61320434350132
7150050336450
oct31222501050
98675158862
103393880616
111491836815
127a872b348
134211926a9
14242a56d60
1514ce493cb
hexca4a8228

3393880616 has 64 divisors (see below), whose sum is σ = 7475086080. Its totient is φ = 1414264320.

The previous prime is 3393880583. The next prime is 3393880639. The reversal of 3393880616 is 6160883933.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725501 + ... + 730163.

It is an arithmetic number, because the mean of its divisors is an integer number (116798220).

Almost surely, 23393880616 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 3393880616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737543040).

3393880616 is an abundant number, since it is smaller than the sum of its proper divisors (4081205464).

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

3393880616 is a wasteful number, since it uses less digits than its factorization.

3393880616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 3393880616 is about 58257.0220316830. The cubic root of 3393880616 is about 1502.7919284957.

The spelling of 3393880616 in words is "three billion, three hundred ninety-three million, eight hundred eighty thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 317 328 574 634 1148 1268 2219 2296 2536 4438 4663 8876 9326 12997 17752 18652 25994 32641 37304 51988 65282 90979 103976 130564 181958 191183 261128 363916 382366 727832 764732 1338281 1478171 1529464 2676562 2956342 5353124 5912684 10347197 10706248 11825368 20694394 41388788 60605011 82777576 121210022 242420044 424235077 484840088 848470154 1696940308 3393880616