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3343422400 = 2652191091009
BaseRepresentation
bin1100011101001000…
…1001001111000000
322122000020110022021
43013102021033000
523321404004100
61311433051224
7145565423113
oct30722111700
98560213267
103343422400
11146630280a
12793856b14
134138a6866
1423a08057a
151487cda1a
hexc74893c0

3343422400 has 168 divisors, whose sum is σ = 8748014000. Its totient is φ = 1254113280.

The previous prime is 3343422377. The next prime is 3343422403. The reversal of 3343422400 is 42243433.

It is a super-2 number, since 2×33434224002 = 22356946689643520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343422403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3313096 + ... + 3314104.

Almost surely, 23343422400 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 3343422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374007000).

3343422400 is an abundant number, since it is smaller than the sum of its proper divisors (5404591600).

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

3343422400 is a wasteful number, since it uses less digits than its factorization.

3343422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 3343422400 is about 57822.3347850984. The cubic root of 3343422400 is about 1495.3071705826.

Adding to 3343422400 its reverse (42243433), we get a palindrome (3385665833).

The spelling of 3343422400 in words is "three billion, three hundred forty-three million, four hundred twenty-two thousand, four hundred".