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34351448349 = 313818291443
BaseRepresentation
bin11111111111100000…
…011000000100011101
310021200000022101022210
4133333200120010131
51030322432321344
623440354431033
72324155331121
oct377740300435
9107600271283
1034351448349
1113628551639
1267a8292479
133315a58cca
14193c325581
15d60b71db9
hex7ff81811d

34351448349 has 8 divisors (see below), whose sum is σ = 45835102432. Its totient is φ = 22884379920.

The previous prime is 34351448291. The next prime is 34351448353. The reversal of 34351448349 is 94384415343.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-34351448349 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34351448298 and 34351448307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34351448749) 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 7 ways as a sum of consecutive naturals, for example, 4141579 + ... + 4149864.

It is an arithmetic number, because the mean of its divisors is an integer number (5729387804).

Almost surely, 234351448349 is an apocalyptic number.

It is an amenable number.

34351448349 is a deficient number, since it is larger than the sum of its proper divisors (11483654083).

34351448349 is a wasteful number, since it uses less digits than its factorization.

34351448349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292827.

The product of its digits is 2488320, while the sum is 48.

The spelling of 34351448349 in words is "thirty-four billion, three hundred fifty-one million, four hundred forty-eight thousand, three hundred forty-nine".

Divisors: 1 3 1381 4143 8291443 24874329 11450482783 34351448349