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3315400389 = 35723831021
BaseRepresentation
bin1100010110011100…
…1111111011000101
322120001111210100000
43011213033323011
523242220303024
61304552311513
7145105303230
oct30547177305
98501453300
103315400389
111451503424
127863a2599
1340ab44ca2
14236468417
151460e5cc9
hexc59cfec5

3315400389 has 96 divisors (see below), whose sum is σ = 5999745024. Its totient is φ = 1788557760.

The previous prime is 3315400373. The next prime is 3315400423. The reversal of 3315400389 is 9830045133.

3315400389 is a `hidden beast` number, since 3 + 31 + 540 + 0 + 3 + 89 = 666.

It is not a de Polignac number, because 3315400389 - 24 = 3315400373 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3315400289) 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 95 ways as a sum of consecutive naturals, for example, 3246699 + ... + 3247719.

It is an arithmetic number, because the mean of its divisors is an integer number (62497344).

Almost surely, 23315400389 is an apocalyptic number.

It is an amenable number.

3315400389 is a deficient number, since it is larger than the sum of its proper divisors (2684344635).

3315400389 is a wasteful number, since it uses less digits than its factorization.

3315400389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3315400389 is about 57579.5136224682. The cubic root of 3315400389 is about 1491.1179377902.

The spelling of 3315400389 in words is "three billion, three hundred fifteen million, four hundred thousand, three hundred eighty-nine".

Divisors: 1 3 7 9 21 23 27 63 69 81 83 161 189 207 243 249 483 567 581 621 747 1021 1449 1701 1743 1863 1909 2241 3063 4347 5229 5589 5727 6723 7147 9189 13041 13363 15687 17181 20169 21441 23483 27567 39123 40089 47061 51543 64323 70449 82701 84743 120267 141183 154629 164381 192969 211347 248103 254229 360801 463887 493143 578907 593201 634041 762687 1082403 1479429 1736721 1779603 1902123 1949089 2288061 3247209 4438287 5338809 5706369 5847267 6864183 13314861 13643623 16016427 17541801 20592549 39944583 40930869 48049281 52625403 122792607 144147843 157876209 368377821 473628627 1105133463 3315400389