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3014104340 = 2251341433653
BaseRepresentation
bin1011001110100111…
…1001010100010100
321210001120100212002
42303221321110110
522133102314330
61215030414432
7134456315132
oct26351712424
97701510762
103014104340
111307424225
12701501418
133905b22c0
14208438752
1512992ce45
hexb3a79514

3014104340 has 96 divisors (see below), whose sum is σ = 7009613856. Its totient is φ = 1081589760.

The previous prime is 3014104319. The next prime is 3014104351. The reversal of 3014104340 is 434014103.

It is a happy number.

3014104340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2804549764 + 209554576 = 52958^2 + 14476^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4615454 + ... + 4616106.

It is an arithmetic number, because the mean of its divisors is an integer number (73016811).

Almost surely, 23014104340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3014104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504806928).

3014104340 is an abundant number, since it is smaller than the sum of its proper divisors (3995509516).

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

3014104340 is a wasteful number, since it uses less digits than its factorization.

3014104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3014104340 is about 54900.8591918196. The cubic root of 3014104340 is about 1444.5062572408.

Adding to 3014104340 its reverse (434014103), we get a palindrome (3448118443).

The spelling of 3014104340 in words is "three billion, fourteen million, one hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 433 533 653 820 866 1066 1306 1732 2132 2165 2612 2665 3265 4330 5330 5629 6530 8489 8660 10660 11258 13060 16978 17753 22516 26773 28145 33956 35506 42445 53546 56290 71012 84890 88765 107092 112580 133865 169780 177530 230789 267730 282749 348049 355060 461578 535460 565498 696098 923156 1130996 1153945 1392196 1413745 1740245 2307890 2827490 3480490 3675737 4615780 5654980 6960980 7351474 11592709 14702948 18378685 23185418 36757370 46370836 57963545 73514740 115927090 150705217 231854180 301410434 602820868 753526085 1507052170 3014104340