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7340423040 = 273353171193
BaseRepresentation
bin1101101011000010…
…11111011110000000
3200221120022010102000
412311201133132000
5110013122014130
63212214424000
7346621365156
oct66541373600
920846263360
107340423040
113127528525
12150a362000
138cc9b7cb2
144d8c533d6
152ce660260
hex1b585f780

7340423040 has 512 divisors, whose sum is σ = 27354931200. Its totient is φ = 1857945600.

The previous prime is 7340423039. The next prime is 7340423053. The reversal of 7340423040 is 403240437.

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 = 7340422995 and 7340423013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38033184 + ... + 38033376.

It is an arithmetic number, because the mean of its divisors is an integer number (53427600).

Almost surely, 27340423040 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 7340423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677465600).

7340423040 is an abundant number, since it is smaller than the sum of its proper divisors (20014508160).

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

7340423040 is a wasteful number, since it uses less digits than its factorization.

7340423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 7340423040 is about 85676.2688263209. The cubic root of 7340423040 is about 1943.4514532154.

Adding to 7340423040 its reverse (403240437), we get a palindrome (7743663477).

The spelling of 7340423040 in words is "seven billion, three hundred forty million, four hundred twenty-three thousand, forty".