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3020030325 = 345213891289
BaseRepresentation
bin1011010000000010…
…0000000101110101
321210110201102210000
42310000200011311
522141111432300
61215401421513
7134560556064
oct26400400565
97713642700
103020030325
11130a801534
1270349a899
133918a86c0
1420913c1db
1512a1edc00
hexb4020175

3020030325 has 120 divisors (see below), whose sum is σ = 6096875400. Its totient is φ = 1468938240.

The previous prime is 3020030287. The next prime is 3020030339. The reversal of 3020030325 is 5230300203.

It can be written as a sum of positive squares in 12 ways, for example, as 1336487364 + 1683542961 = 36558^2 + 41031^2 .

It is not a de Polignac number, because 3020030325 - 27 = 3020030197 is a prime.

It is a super-3 number, since 3×30200303253 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3020030298 and 3020030307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2342281 + ... + 2343569.

It is an arithmetic number, because the mean of its divisors is an integer number (50807295).

Almost surely, 23020030325 is an apocalyptic number.

It is an amenable number.

3020030325 is an abundant number, since it is smaller than the sum of its proper divisors (3076845075).

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

3020030325 is a wasteful number, since it uses less digits than its factorization.

3020030325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3020030325 is about 54954.8025653809. The cubic root of 3020030325 is about 1445.4523114791.

Adding to 3020030325 its reverse (5230300203), we get a palindrome (8250330528).

The spelling of 3020030325 in words is "three billion, twenty million, thirty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 89 117 135 195 225 267 325 351 405 445 585 675 801 975 1053 1157 1289 1335 1755 2025 2225 2403 2925 3471 3867 4005 5265 5785 6445 6675 7209 8775 10413 11601 12015 16757 17355 19335 20025 26325 28925 31239 32225 34803 36045 50271 52065 58005 60075 83785 86775 93717 96675 104409 114721 150813 156195 174015 180225 251355 260325 290025 344163 418925 452439 468585 522045 573605 754065 780975 870075 1032489 1256775 1357317 1491373 1720815 2262195 2342925 2610225 2868025 3097467 3770325 4474119 5162445 6786585 7456865 8604075 9292401 11310975 13422357 15487335 22370595 25812225 33932925 37284325 40267071 46462005 67111785 77436675 111852975 120801213 201335355 232310025 335558925 604006065 1006676775 3020030325