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344826482476476 = 2237111319311012112287
BaseRepresentation
bin100111001100111100010101…
…1111111110100010110111100
31200012221002102110011020022110
41032121320223333310112330
5330144114114003221401
63221215033230214020
7132426614455635210
oct11631705377642674
91605832373136273
10344826482476476
119a9660a9828450
1232811823354310
1311a53cc8145ca0
1461219957c0940
1529ceadc7329d6
hex1399e2bff45bc

344826482476476 has 1536 divisors, whose sum is σ = 1191596796149760. Its totient is φ = 74658931200000.

The previous prime is 344826482476403. The next prime is 344826482476493. The reversal of 344826482476476 is 674674284628443.

It is a junction number, because it is equal to n+sod(n) for n = 344826482476398 and 344826482476407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 150776773005 + ... + 150776775291.

It is an arithmetic number, because the mean of its divisors is an integer number (775779164160).

Almost surely, 2344826482476476 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 344826482476476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595798398074880).

344826482476476 is an abundant number, since it is smaller than the sum of its proper divisors (846770313673284).

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

344826482476476 is a wasteful number, since it uses less digits than its factorization.

344826482476476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2685 counting only the distinct ones).

The product of its digits is 8323596288, while the sum is 75.

The spelling of 344826482476476 in words is "three hundred forty-four trillion, eight hundred twenty-six billion, four hundred eighty-two million, four hundred seventy-six thousand, four hundred seventy-six".