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341999034624 = 28341317372017
BaseRepresentation
bin1001111101000001011…
…10110010000100000000
31012200202111112001020000
410332200232302010000
521100403223101444
6421040122120000
733465024554412
oct4764056620400
91180674461200
10341999034624
1112204a5a2675
1256346950000
13263340aaca0
14127a4dd69b2
158d69917469
hex4fa0bb2100

341999034624 has 720 divisors, whose sum is σ = 1194844997808. Its totient is φ = 96315899904.

The previous prime is 341999034599. The next prime is 341999034677. The reversal of 341999034624 is 426430999143.

341999034624 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 9 + 9 + 0 + 3 + 4 + 624 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44930433024 + 297068601600 = 211968^2 + 545040^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169557264 + ... + 169559280.

Almost surely, 2341999034624 is an apocalyptic number.

341999034624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341999034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597422498904).

341999034624 is an abundant number, since it is smaller than the sum of its proper divisors (852845963184).

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

341999034624 is a wasteful number, since it uses less digits than its factorization.

341999034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 341999034624 in words is "three hundred forty-one billion, nine hundred ninety-nine million, thirty-four thousand, six hundred twenty-four".