Search a number
-
+
3122313320 = 235721983843
BaseRepresentation
bin1011101000011010…
…1011100001101000
322001121011221200002
42322012223201220
522343303011240
61233454002132
7140242140200
oct27206534150
98047157602
103122313320
111362512235
127317a6348
133a9b3b399
14218965400
151341a4d15
hexba1ab868

3122313320 has 96 divisors (see below), whose sum is σ = 8602394400. Its totient is φ = 1014152832.

The previous prime is 3122313307. The next prime is 3122313349. The reversal of 3122313320 is 233132213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3122313292 and 3122313301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4682 + ... + 79161.

It is an arithmetic number, because the mean of its divisors is an integer number (89608275).

Almost surely, 23122313320 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 3122313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301197200).

3122313320 is an abundant number, since it is smaller than the sum of its proper divisors (5480081080).

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

3122313320 is a wasteful number, since it uses less digits than its factorization.

3122313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83887 (or 83876 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3122313320 is about 55877.6638738593. The cubic root of 3122313320 is about 1461.5897676456.

Adding to 3122313320 its reverse (233132213), we get a palindrome (3355445533).

The spelling of 3122313320 in words is "three billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 2660 3724 4655 5320 7448 9310 18620 37240 83843 167686 335372 419215 586901 670744 838430 1173802 1593017 1676860 2347604 2934505 3186034 3353720 4108307 4695208 5869010 6372068 7965085 8216614 11151119 11738020 12744136 15930170 16433228 20541535 22302238 23476040 31860340 32866456 41083070 44604476 55755595 63720680 78057833 82166140 89208952 111511190 156115666 164332280 223022380 312231332 390289165 446044760 624462664 780578330 1561156660 3122313320