Search a number
-
+
336795648 = 2113741191
BaseRepresentation
bin10100000100110…
…001100000000000
3212110201222202220
4110010301200000
51142204430043
653230411040
711226500340
oct2404614000
9773658686
10336795648
11163126612
1294960a80
1354a11c87
1432a30d20
151e87b483
hex14131800

336795648 has 192 divisors, whose sum is σ = 1056706560. Its totient is φ = 93388800.

The previous prime is 336795643. The next prime is 336795649. The reversal of 336795648 is 846597633.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3367956482 = 226862617023479808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 336795648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336795643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763233 + ... + 1763423.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2336795648 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 336795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

336795648 is an abundant number, since it is smaller than the sum of its proper divisors (719910912).

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

336795648 is a wasteful number, since it uses less digits than its factorization.

336795648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The square root of 336795648 is about 18351.9930252820. The cubic root of 336795648 is about 695.7536451402.

The spelling of 336795648 in words is "three hundred thirty-six million, seven hundred ninety-five thousand, six hundred forty-eight".