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3014000020 = 2251937474561
BaseRepresentation
bin1011001110100101…
…1111110110010100
321210001101001202101
42303221133312110
522133041000040
61215024251444
7134455402033
oct26351376624
97701331671
103014000020
111307362909
12701470b84
13390576985
1420840c71a
1512990c09a
hexb3a5fd94

3014000020 has 96 divisors (see below), whose sum is σ = 6989713920. Its totient is φ = 1087395840.

The previous prime is 3013999997. The next prime is 3014000029. The reversal of 3014000020 is 200004103.

It is a super-2 number, since 2×30140000202 = 18168392241120000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 3013999970 and 3014000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3014000029) 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 31 ways as a sum of consecutive naturals, for example, 658540 + ... + 663100.

It is an arithmetic number, because the mean of its divisors is an integer number (72809520).

Almost surely, 23014000020 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 3014000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494856960).

3014000020 is an abundant number, since it is smaller than the sum of its proper divisors (3975713900).

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

3014000020 is a wasteful number, since it uses less digits than its factorization.

3014000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3014000020 is about 54899.9091073929. The cubic root of 3014000020 is about 1444.4895919660.

Adding to 3014000020 its reverse (200004103), we get a palindrome (3214004123).

The spelling of 3014000020 in words is "three billion, fourteen million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 37 38 47 74 76 94 95 148 185 188 190 235 370 380 470 703 740 893 940 1406 1739 1786 2812 3478 3515 3572 4465 4561 6956 7030 8695 8930 9122 14060 17390 17860 18244 22805 33041 34780 45610 66082 86659 91220 132164 165205 168757 173318 214367 330410 337514 346636 428734 433295 660820 675028 843785 857468 866590 1071835 1687570 1733180 2143670 3206383 3375140 4072973 4287340 6412766 7931579 8145946 12825532 15863158 16031915 16291892 20364865 31726316 32063830 39657895 40729730 64127660 79315790 81459460 150700001 158631580 301400002 602800004 753500005 1507000010 3014000020