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34341006741 = 331557662941
BaseRepresentation
bin11111111110111000…
…100010110110010101
310021122021122220010120
4133332320202312111
51030312244203431
623435342542153
72324000512116
oct377670426625
9107567586116
1034341006741
111362266a708
1267a4897959
133313841442
14193aba820d
15d5ecad196
hex7fee22d95

34341006741 has 16 divisors (see below), whose sum is σ = 47349969408. Its totient is φ = 22115678400.

The previous prime is 34341006731. The next prime is 34341006751. The reversal of 34341006741 is 14760014343.

It is an interprime number because it is at equal distance from previous prime (34341006731) and next prime (34341006751).

It is not a de Polignac number, because 34341006741 - 214 = 34340990357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341006731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279670 + ... + 383271.

It is an arithmetic number, because the mean of its divisors is an integer number (2959373088).

Almost surely, 234341006741 is an apocalyptic number.

34341006741 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34341006741 is a deficient number, since it is larger than the sum of its proper divisors (13008962667).

34341006741 is a wasteful number, since it uses less digits than its factorization.

34341006741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663532.

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 34341006741 in words is "thirty-four billion, three hundred forty-one million, six thousand, seven hundred forty-one".

Divisors: 1 3 31 93 557 1671 17267 51801 662941 1988823 20551171 61653513 369258137 1107774411 11447002247 34341006741