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34374302326441 = 7211161009396091
BaseRepresentation
bin1111101000011011001000…
…00101000101111010101001
311111201011002020020202101201
413310031210011011322221
514001142032343421231
6201035200403044201
710145314153600300
oct764154405057251
9144634066222351
1034374302326441
11aa53072588580
123a31b78370661
1316246379362cc
1486ba219b5437
153e924b5e7161
hex1f4364145ea9

34374302326441 has 24 divisors (see below), whose sum is σ = 43621944677280. Its totient is φ = 26784936662400.

The previous prime is 34374302326381. The next prime is 34374302326493. The reversal of 34374302326441 is 14462320347343.

It is not a de Polignac number, because 34374302326441 - 27 = 34374302326313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34374302326391 and 34374302326400.

It is not an unprimeable number, because it can be changed into a prime (34374302626441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86585806 + ... + 86981896.

It is an arithmetic number, because the mean of its divisors is an integer number (1817581028220).

Almost surely, 234374302326441 is an apocalyptic number.

It is an amenable number.

34374302326441 is a deficient number, since it is larger than the sum of its proper divisors (9247642350839).

34374302326441 is a wasteful number, since it uses less digits than its factorization.

34374302326441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557125 (or 557118 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 46.

It can be divided in two parts, 34374302 and 326441, that added together give a palindrome (34700743).

The spelling of 34374302326441 in words is "thirty-four trillion, three hundred seventy-four billion, three hundred two million, three hundred twenty-six thousand, four hundred forty-one".

Divisors: 1 7 11 49 77 539 161009 396091 1127063 1771099 2772637 4357001 7889441 12397693 19408459 30499007 86783851 213493049 63774215819 446419510733 701516374009 3124936575131 4910614618063 34374302326441