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34420020320034 = 23243277991599709
BaseRepresentation
bin1111101001110000010010…
…00101011001011100100010
311111212112002101201110111200
413310320021011121130202
514002414200200220114
6201112201122222030
710151523122251326
oct764701105313442
9144775071643450
1034420020320034
11aa704a3162858
123a3a9b71b4916
131628a4251691b
1486dd1b743986
153ea5250ae409
hex1f4e09159722

34420020320034 has 48 divisors (see below), whose sum is σ = 76313845608000. Its totient is φ = 11206108111968.

The previous prime is 34420020320003. The next prime is 34420020320111. The reversal of 34420020320034 is 43002302002443.

34420020320034 is a `hidden beast` number, since 3 + 4 + 420 + 0 + 2 + 0 + 3 + 200 + 34 = 666.

It is a super-2 number, since 2×344200203200342 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20716572 + ... + 22316280.

It is an arithmetic number, because the mean of its divisors is an integer number (1589871783500).

Almost surely, 234420020320034 is an apocalyptic number.

34420020320034 is an abundant number, since it is smaller than the sum of its proper divisors (41893825287966).

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

34420020320034 is a wasteful number, since it uses less digits than its factorization.

34420020320034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627559 (or 1627556 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34420020320034 its reverse (43002302002443), we get a palindrome (77422322322477).

The spelling of 34420020320034 in words is "thirty-four trillion, four hundred twenty billion, twenty million, three hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 27799 55598 83397 166794 250191 500382 1195357 1599709 2390714 3199418 3586071 4799127 7172142 9598254 10758213 14397381 21516426 28794762 68787487 137574974 206362461 412724922 619087383 1238174766 44470310491 88940620982 133410931473 266821862946 400232794419 800465588838 1912223351113 3824446702226 5736670053339 11473340106678 17210010160017 34420020320034