Search a number
-
+
3342236040 = 233351113171967
BaseRepresentation
bin1100011100110110…
…0111100110001000
322121221000011221000
43013031213212020
523321103023130
61311351415000
7145552352253
oct30715474610
98557004830
103342236040
111465672450
12793384460
1341357c880
14239c5209a
15148647260
hexc7367988

3342236040 has 1024 divisors, whose sum is σ = 14805504000. Its totient is φ = 656916480.

The previous prime is 3342236039. The next prime is 3342236041. The reversal of 3342236040 is 406322433.

It is a happy number.

3342236040 is a `hidden beast` number, since 3 + 34 + 2 + 23 + 604 + 0 = 666.

3342236040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3342236039) and next prime (3342236041).

It is a super-2 number, since 2×33422360402 = 22341083494149763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3342235995 and 3342236013.

It is not an unprimeable number, because it can be changed into a prime (3342236041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49884087 + ... + 49884153.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 23342236040 is an apocalyptic number.

3342236040 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 3342236040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752000).

3342236040 is an abundant number, since it is smaller than the sum of its proper divisors (11463267960).

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

3342236040 is a wasteful number, since it uses less digits than its factorization.

3342236040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3342236040 is about 57812.0752092502. The cubic root of 3342236040 is about 1495.1302877097.

Adding to 3342236040 its reverse (406322433), we get a palindrome (3748558473).

The spelling of 3342236040 in words is "three billion, three hundred forty-two million, two hundred thirty-six thousand, forty".