Search a number
-
+
3395310336 = 283211219641
BaseRepresentation
bin1100101001100000…
…0101001100000000
322202121212122011200
43022120011030000
523423144412321
61320525141200
7150065442645
oct31230051400
98677778150
103395310336
111492622a00
127a90ba800
13421573392
14242d09dcc
1514d12cd26
hexca605300

3395310336 has 324 divisors, whose sum is σ = 11344383960. Its totient is φ = 973209600.

The previous prime is 3395310313. The next prime is 3395310337. The reversal of 3395310336 is 6330135933.

It is a happy number.

3395310336 is a `hidden beast` number, since 3 + 3 + 9 + 5 + 310 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3395310336.

It is not an unprimeable number, because it can be changed into a prime (3395310337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5296576 + ... + 5297216.

Almost surely, 23395310336 is an apocalyptic number.

3395310336 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 3395310336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672191980).

3395310336 is an abundant number, since it is smaller than the sum of its proper divisors (7949073624).

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

3395310336 is a wasteful number, since it uses less digits than its factorization.

3395310336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 36.

The square root of 3395310336 is about 58269.2915350787. The cubic root of 3395310336 is about 1503.0029229574.

The spelling of 3395310336 in words is "three billion, three hundred ninety-five million, three hundred ten thousand, three hundred thirty-six".