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33348348349 = 1072231397609
BaseRepresentation
bin11111000011101101…
…110110100110111101
310012002002210121210221
4133003231312212331
51021244134121344
623153042501341
72260255166251
oct370355664675
9105062717727
1033348348349
1113163300778
126568364851
1331b5ca4b04
14188500c261
15d02a7c184
hex7c3b769bd

33348348349 has 8 divisors (see below), whose sum is σ = 33810981120. Its totient is φ = 32888511456.

The previous prime is 33348348311. The next prime is 33348348359. The reversal of 33348348349 is 94384384333.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 33348348349 - 217 = 33348217277 is a prime.

It is a super-2 number, since 2×333483483492 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33348348296 and 33348348305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33348348359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674944 + ... + 722665.

It is an arithmetic number, because the mean of its divisors is an integer number (4226372640).

Almost surely, 233348348349 is an apocalyptic number.

It is an amenable number.

33348348349 is a deficient number, since it is larger than the sum of its proper divisors (462632771).

33348348349 is a wasteful number, since it uses less digits than its factorization.

33348348349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397939.

The product of its digits is 8957952, while the sum is 52.

The spelling of 33348348349 in words is "thirty-three billion, three hundred forty-eight million, three hundred forty-eight thousand, three hundred forty-nine".

Divisors: 1 107 223 23861 1397609 149544163 311666807 33348348349