Search a number
-
+
3378342240 = 25325721329127
BaseRepresentation
bin1100100101011101…
…0110100101100000
322201102221120022200
43021113112211200
523404323422430
61315121333200
7146501302200
oct31127264540
98642846280
103378342240
111483a93589
127a3497200
1341abb1ca0
14240970400
1514b8ca460
hexc95d6960

3378342240 has 864 divisors, whose sum is σ = 15058068480. Its totient is φ = 682795008.

The previous prime is 3378342223. The next prime is 3378342241. The reversal of 3378342240 is 422438733.

3378342240 is a `hidden beast` number, since 3 + 3 + 78 + 342 + 240 = 666.

It is a super-2 number, since 2×33783422402 = 22826392581136435200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3378342195 and 3378342204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378342241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26601057 + ... + 26601183.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 23378342240 is an apocalyptic number.

3378342240 is a gapful number since it is divisible by the number (30) 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 3378342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3378342240 is an abundant number, since it is smaller than the sum of its proper divisors (11679726240).

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

3378342240 is a wasteful number, since it uses less digits than its factorization.

3378342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3378342240 is about 58123.5084969928. The cubic root of 3378342240 is about 1500.4949833097.

The spelling of 3378342240 in words is "three billion, three hundred seventy-eight million, three hundred forty-two thousand, two hundred forty".