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340324140533440 = 2657615774316573
BaseRepresentation
bin100110101100001011110001…
…1100000010100011011000000
31122121222200002111110210020211
41031120113203200110123000
5324101332314434032230
63203450430221043504
7131453415313601230
oct11530274340243300
91577880074423224
10340324140533440
119948a72610a978
12322051220b6594
13117b8575c6059b
146007ac21d1cc0
15295292a23a42a
hex13585e38146c0

340324140533440 has 224 divisors, whose sum is σ = 942982594786944. Its totient is φ = 114570799349760.

The previous prime is 340324140533371. The next prime is 340324140533441. The reversal of 340324140533440 is 44335041423043.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 340324140533393 and 340324140533402.

It is not an unprimeable number, because it can be changed into a prime (340324140533441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76682994 + ... + 80999566.

Almost surely, 2340324140533440 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 340324140533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471491297393472).

340324140533440 is an abundant number, since it is smaller than the sum of its proper divisors (602658454253504).

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

340324140533440 is a wasteful number, since it uses less digits than its factorization.

340324140533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317235 (or 4317225 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

Adding to 340324140533440 its reverse (44335041423043), we get a palindrome (384659181956483).

The spelling of 340324140533440 in words is "three hundred forty trillion, three hundred twenty-four billion, one hundred forty million, five hundred thirty-three thousand, four hundred forty".