Search a number
-
+
3360193286928 = 2432959892331973
BaseRepresentation
bin110000111001011011001…
…000001001001100010000
3102220020020122111002202120
4300321123020021030100
5420023133440140203
611051352415414240
7464523502452042
oct60713310111420
912806218432676
103360193286928
1110860605683a5
12463289b24380
131b4b3216254a
14b88c4443a92
155c6165d5b53
hex30e5b209310

3360193286928 has 320 divisors, whose sum is σ = 9278968608000. Its totient is φ = 1046124986368.

The previous prime is 3360193286917. The next prime is 3360193286929. The reversal of 3360193286928 is 8296823910633.

It is a super-2 number, since 2×33601932869282 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3360193286929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1703087350 + ... + 1703089322.

It is an arithmetic number, because the mean of its divisors is an integer number (28996776900).

Almost surely, 23360193286928 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 3360193286928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639484304000).

3360193286928 is an abundant number, since it is smaller than the sum of its proper divisors (5918775321072).

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

3360193286928 is a wasteful number, since it uses less digits than its factorization.

3360193286928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 3360193286928 in words is "three trillion, three hundred sixty billion, one hundred ninety-three million, two hundred eighty-six thousand, nine hundred twenty-eight".