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344107110108 = 2231912714979757
BaseRepresentation
bin1010000000111100110…
…00011100111011011100
31012220012102020101010210
411000132120130323130
521114212410010413
6422025225332420
733601203114156
oct5003630347334
91186172211123
10344107110108
11122a31546a13
1256834937110
13265aba65728
1412924d85ad6
158e3ea273c3
hex501e61cedc

344107110108 has 96 divisors (see below), whose sum is σ = 857558016000. Its totient is φ = 107084871936.

The previous prime is 344107110107. The next prime is 344107110133. The reversal of 344107110108 is 801011701443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344107110107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4274566 + ... + 4354322.

It is an arithmetic number, because the mean of its divisors is an integer number (8932896000).

Almost surely, 2344107110108 is an apocalyptic number.

344107110108 is a gapful number since it is divisible by the number (38) 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 344107110108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428779008000).

344107110108 is an abundant number, since it is smaller than the sum of its proper divisors (513450905892).

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

344107110108 is a wasteful number, since it uses less digits than its factorization.

344107110108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80059 (or 80057 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 344107110108 in words is "three hundred forty-four billion, one hundred seven million, one hundred ten thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 127 149 228 254 298 381 447 508 596 762 894 1524 1788 2413 2831 4826 5662 7239 8493 9652 11324 14478 16986 18923 28956 33972 37846 56769 75692 79757 113538 159514 227076 239271 319028 359537 478542 719074 957084 1078611 1438148 1515383 2157222 3030766 4314444 4546149 6061532 9092298 10129139 11883793 18184596 20258278 23767586 30387417 35651379 40516556 47535172 60774834 71302758 121549668 142605516 192453641 225792067 384907282 451584134 577360923 677376201 769814564 903168268 1154721846 1354752402 1509241711 2309443692 2709504804 3018483422 4527725133 6036966844 9055450266 18110900532 28675592509 57351185018 86026777527 114702370036 172053555054 344107110108