Search a number
-
+
3211140420 = 2232529615161
BaseRepresentation
bin1011111101100110…
…0001110101000100
322021210022211112200
42333121201311010
523034022443140
61250345514500
7142401146265
oct27731416504
98253284480
103211140420
1113a8672364
127574a2a30
133c236c4b7
1422668896c
1513bd9e030
hexbf661d44

3211140420 has 72 divisors (see below), whose sum is σ = 10076353560. Its totient is φ = 826775040.

The previous prime is 3211140419. The next prime is 3211140461. The reversal of 3211140420 is 240411123.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 3206050884 = 2256^2 + 56622^2 .

It is a super-2 number, since 2×32111404202 = 20622845593915552800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3211140393 and 3211140402.

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 23 ways as a sum of consecutive naturals, for example, 302361 + ... + 312800.

It is an arithmetic number, because the mean of its divisors is an integer number (139949355).

Almost surely, 23211140420 is an apocalyptic number.

3211140420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3211140420 is an abundant number, since it is smaller than the sum of its proper divisors (6865213140).

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

3211140420 is a wasteful number, since it uses less digits than its factorization.

3211140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615205 (or 615200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3211140420 is about 56666.9252739197. The cubic root of 3211140420 is about 1475.3206879091.

Adding to 3211140420 its reverse (240411123), we get a palindrome (3451551543).

The spelling of 3211140420 in words is "three billion, two hundred eleven million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 615161 1230322 1845483 2460644 3075805 3690966 5536449 6151610 7381932 9227415 11072898 12303220 17839669 18454830 22145796 27682245 35679338 36909660 53519007 55364490 71358676 89198345 107038014 110728980 160557021 178396690 214076028 267595035 321114042 356793380 535190070 642228084 802785105 1070380140 1605570210 3211140420