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3040201020 = 22351916316361
BaseRepresentation
bin1011010100110101…
…1100100100111100
321211212200012202210
42311031130210330
522211242413040
61221402020420
7135224165553
oct26515344474
97755605683
103040201020
11132012902a
1270a1a7710
13395b1b71c
1420baacd9a
1512bd85480
hexb535c93c

3040201020 has 96 divisors (see below), whose sum is σ = 9016116480. Its totient is φ = 763292160.

The previous prime is 3040201013. The next prime is 3040201037. The reversal of 3040201020 is 201020403.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3040200987 and 3040201005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 177640 + ... + 194000.

It is an arithmetic number, because the mean of its divisors is an integer number (93917880).

Almost surely, 23040201020 is an apocalyptic number.

3040201020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508058240).

3040201020 is an abundant number, since it is smaller than the sum of its proper divisors (5975915460).

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

3040201020 is a wasteful number, since it uses less digits than its factorization.

3040201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16555 (or 16553 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3040201020 is about 55138.0179186739. The cubic root of 3040201020 is about 1448.6632182326.

Adding to 3040201020 its reverse (201020403), we get a palindrome (3241221423).

The spelling of 3040201020 in words is "three billion, forty million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 163 190 228 285 326 380 489 570 652 815 978 1140 1630 1956 2445 3097 3260 4890 6194 9291 9780 12388 15485 16361 18582 30970 32722 37164 46455 49083 61940 65444 81805 92910 98166 163610 185820 196332 245415 310859 327220 490830 621718 932577 981660 1243436 1554295 1865154 2666843 3108590 3730308 4662885 5333686 6217180 8000529 9325770 10667372 13334215 16001058 18651540 26668430 32002116 40002645 50670017 53336860 80005290 101340034 152010051 160010580 202680068 253350085 304020102 506700170 608040204 760050255 1013400340 1520100510 3040201020