Search a number
-
+
3323121330 = 235377341011
BaseRepresentation
bin1100011000010010…
…1100111010110010
322120121001001110210
43012010230322302
523301204340310
61305430004550
7145231031244
oct30604547262
98517031423
103323121330
1114558a7271
12788aa6756
1340c6193a9
142374b8094
15146b1d820
hexc612ceb2

3323121330 has 64 divisors (see below), whose sum is σ = 8303453568. Its totient is φ = 850383360.

The previous prime is 3323121311. The next prime is 3323121371. The reversal of 3323121330 is 331213233.

It is a super-2 number, since 2×33231213302 = 22086270747801937800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3323121297 and 3323121306.

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, 60525 + ... + 101535.

It is an arithmetic number, because the mean of its divisors is an integer number (129741462).

Almost surely, 23323121330 is an apocalyptic number.

3323121330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151726784).

3323121330 is an abundant number, since it is smaller than the sum of its proper divisors (4980332238).

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

3323121330 is a wasteful number, since it uses less digits than its factorization.

3323121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41131.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3323121330 is about 57646.5205368026. The cubic root of 3323121330 is about 1492.2745510441.

Adding to 3323121330 its reverse (331213233), we get a palindrome (3654334563).

The spelling of 3323121330 in words is "three billion, three hundred twenty-three million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 73 74 111 146 185 219 222 365 370 438 555 730 1095 1110 2190 2701 5402 8103 13505 16206 27010 40515 41011 81030 82022 123033 205055 246066 410110 615165 1230330 1517407 2993803 3034814 4552221 5987606 7587035 8981409 9104442 14969015 15174070 17962818 22761105 29938030 44907045 45522210 89814090 110770711 221541422 332312133 553853555 664624266 1107707110 1661560665 3323121330