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348877383449 = 7211364198297
BaseRepresentation
bin1010001001110101011…
…01100110011100011001
31020100111212100100222012
411010322231212130121
521204000102232244
6424134433035305
734130335554500
oct5047255463431
91210455310865
10348877383449
11124a5a207981
12577463b5b35
1326b8c12c58a
1412c58727837
15911d70189e
hex513ab66719

348877383449 has 24 divisors (see below), whose sum is σ = 410071339368. Its totient is φ = 295926005760.

The previous prime is 348877383443. The next prime is 348877383451. The reversal of 348877383449 is 944383778843.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2111862025 + 346765521424 = 45955^2 + 588868^2 .

It is not a de Polignac number, because 348877383449 - 28 = 348877383193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (348877383443) 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, 3500069 + ... + 3598365.

It is an arithmetic number, because the mean of its divisors is an integer number (17086305807).

Almost surely, 2348877383449 is an apocalyptic number.

It is an amenable number.

348877383449 is a deficient number, since it is larger than the sum of its proper divisors (61193955919).

348877383449 is a wasteful number, since it uses less digits than its factorization.

348877383449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99065 (or 99058 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 68.

The spelling of 348877383449 in words is "three hundred forty-eight billion, eight hundred seventy-seven million, three hundred eighty-three thousand, four hundred forty-nine".

Divisors: 1 7 49 113 641 791 4487 5537 31409 72433 98297 507031 688079 3549217 4816553 11107561 63008377 77752927 441058639 544270489 3087410473 7119946601 49839626207 348877383449