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3468141369 = 327117876359
BaseRepresentation
bin1100111010110111…
…1010001100111001
322221200220211120100
43032231322030321
524100321010434
61332050150013
7151641500220
oct31655721471
98850824510
103468141369
11151a747a40
12809582309
13433693674
1424c867cb7
15154717699
hexceb7a339

3468141369 has 48 divisors (see below), whose sum is σ = 6254576640. Its totient is φ = 1799059680.

The previous prime is 3468141343. The next prime is 3468141371. The reversal of 3468141369 is 9631418643.

It is not a de Polignac number, because 3468141369 - 28 = 3468141113 is a prime.

It is a super-4 number, since 4×34681413694 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3468141329) 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 47 ways as a sum of consecutive naturals, for example, 542212 + ... + 548570.

It is an arithmetic number, because the mean of its divisors is an integer number (130303680).

Almost surely, 23468141369 is an apocalyptic number.

It is an amenable number.

3468141369 is a deficient number, since it is larger than the sum of its proper divisors (2786435271).

3468141369 is a wasteful number, since it uses less digits than its factorization.

3468141369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7167 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3468141369 is about 58890.9277308483. The cubic root of 3468141369 is about 1513.6736959417.

The spelling of 3468141369 in words is "three billion, four hundred sixty-eight million, one hundred forty-one thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 787 2361 5509 6359 7083 8657 16527 19077 25971 44513 49581 57231 60599 69949 77913 133539 181797 209847 400617 489643 545391 629541 1468929 4406787 5004533 15013599 35031731 45040797 55049863 105095193 165149589 315285579 385349041 495448767 1156047123 3468141369