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34424442343314 = 23214332753484777
BaseRepresentation
bin1111101001111000100001…
…01010000100111110010010
311111212221111120112112001200
413310330100222010332102
514003002224214441224
6201114212005412030
710152040525653432
oct764742052047622
9144787446475050
1034424442343314
11aa72362294351
123a3b83010a016
1316292986bac4a
1487021ab522c2
153ea6d33e85c9
hex1f4f10a84f92

34424442343314 has 48 divisors (see below), whose sum is σ = 74665606454712. Its totient is φ = 11462617718784.

The previous prime is 34424442343289. The next prime is 34424442343349. The reversal of 34424442343314 is 41334324442443.

34424442343314 is a `hidden beast` number, since 3 + 4 + 4 + 244 + 42 + 34 + 331 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28920571506225 + 5503870837089 = 5377785^2 + 2346033^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34424442343314.

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, 70768494 + ... + 71253270.

Almost surely, 234424442343314 is an apocalyptic number.

34424442343314 is an abundant number, since it is smaller than the sum of its proper divisors (40241164111398).

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

34424442343314 is a wasteful number, since it uses less digits than its factorization.

34424442343314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488971 (or 488968 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 45.

Adding to 34424442343314 its reverse (41334324442443), we get a palindrome (75758766785757).

The spelling of 34424442343314 in words is "thirty-four trillion, four hundred twenty-four billion, four hundred forty-two million, three hundred forty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 1433 2753 2866 4299 5506 8259 8598 12897 16518 24777 25794 49554 484777 969554 1454331 2908662 3945049 4362993 7890098 8725986 11835147 23670294 35505441 71010882 694685441 1334591081 1389370882 2084056323 2669182162 4003773243 4168112646 6252168969 8007546486 12011319729 12504337938 24022639458 1912469019073 3824938038146 5737407057219 11474814114438 17212221171657 34424442343314