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340144444248 = 23372597976151
BaseRepresentation
bin1001111001100100011…
…00000101001101011000
31012111222020210002111120
410330302030011031120
521033103434203443
6420132111525240
733401045033400
oct4746214051530
91174866702446
10340144444248
11121288742454
1255b09829820
13260c9ab632b
141266a98d800
158cabbc9083
hex4f32305358

340144444248 has 192 divisors, whose sum is σ = 1007387539200. Its totient is φ = 95401555200.

The previous prime is 340144444201. The next prime is 340144444267. The reversal of 340144444248 is 842444441043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 55295973 + ... + 55302123.

It is an arithmetic number, because the mean of its divisors is an integer number (5246810100).

Almost surely, 2340144444248 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 340144444248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503693769600).

340144444248 is an abundant number, since it is smaller than the sum of its proper divisors (667243094952).

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

340144444248 is a wasteful number, since it uses less digits than its factorization.

340144444248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 42.

The spelling of 340144444248 in words is "three hundred forty billion, one hundred forty-four million, four hundred forty-four thousand, two hundred forty-eight".