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3106721340 = 22325109315791
BaseRepresentation
bin1011100100101100…
…1100111000111100
322000111211210111100
42321023030320330
522330310040330
61232135453100
7136662460422
oct27113147074
98014753440
103106721340
1113547327a8
12728527190
133a683c468
14216867112
15132b25060
hexb92cce3c

3106721340 has 72 divisors (see below), whose sum is σ = 9432940608. Its totient is φ = 827648640.

The previous prime is 3106721339. The next prime is 3106721341. The reversal of 3106721340 is 431276013.

3106721340 is a `hidden beast` number, since 310 + 6 + 7 + 2 + 1 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (3106721339) and next prime (3106721341).

It is a super-2 number, since 2×31067213402 = 19303434968822791200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3106721341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188845 + ... + 204635.

It is an arithmetic number, because the mean of its divisors is an integer number (131013064).

Almost surely, 23106721340 is an apocalyptic number.

3106721340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3106721340 is an abundant number, since it is smaller than the sum of its proper divisors (6326219268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3106721340 is a wasteful number, since it uses less digits than its factorization.

3106721340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16899 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3106721340 is about 55737.9703613255. The cubic root of 3106721340 is about 1459.1527798716.

Adding to 3106721340 its reverse (431276013), we get a palindrome (3537997353).

The spelling of 3106721340 in words is "three billion, one hundred six million, seven hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1093 2186 3279 4372 5465 6558 9837 10930 13116 15791 16395 19674 21860 31582 32790 39348 47373 49185 63164 65580 78955 94746 98370 142119 157910 189492 196740 236865 284238 315820 473730 568476 710595 947460 1421190 2842380 17259563 34519126 51778689 69038252 86297815 103557378 155336067 172595630 207114756 258893445 310672134 345191260 517786890 621344268 776680335 1035573780 1553360670 3106721340