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341444105352 = 23337310942281
BaseRepresentation
bin1001111011111111010…
…01111001010010001000
31012122022211022201101000
410331333221321102020
521043234142332402
6420505100055000
733445206003000
oct4757751712210
91178284281330
10341444105352
11121895329039
1256210b34460
1326276132c7c
1412751423000
158d35d4dc1c
hex4f7fa79488

341444105352 has 256 divisors, whose sum is σ = 1116244800000. Its totient is φ = 96658168320.

The previous prime is 341444105351. The next prime is 341444105371. The reversal of 341444105352 is 253501444143.

341444105352 is a `hidden beast` number, since 3 + 4 + 144 + 410 + 53 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (341444105351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8054452 + ... + 8096732.

It is an arithmetic number, because the mean of its divisors is an integer number (4360331250).

Almost surely, 2341444105352 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 341444105352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558122400000).

341444105352 is an abundant number, since it is smaller than the sum of its proper divisors (774800694648).

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

341444105352 is a wasteful number, since it uses less digits than its factorization.

341444105352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42426 (or 42402 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 341444105352 its reverse (253501444143), we get a palindrome (594945549495).

The spelling of 341444105352 in words is "three hundred forty-one billion, four hundred forty-four million, one hundred five thousand, three hundred fifty-two".