Search a number
-
+
3212313320 = 2352272811259
BaseRepresentation
bin1011111101111000…
…0000001011101000
322021212112102110102
42333132000023220
523034323011240
61250431004532
7142414132646
oct27736001350
98255472412
103212313320
1113a92a35a7
12757969748
133c2690318
142268b2196
1513c031815
hexbf7802e8

3212313320 has 64 divisors (see below), whose sum is σ = 7291166400. Its totient is φ = 1273699840.

The previous prime is 3212313317. The next prime is 3212313329. The reversal of 3212313320 is 233132123.

3212313320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3212313292 and 3212313301.

It is not an unprimeable number, because it can be changed into a prime (3212313329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2550851 + ... + 2552109.

It is an arithmetic number, because the mean of its divisors is an integer number (113924475).

Almost surely, 23212313320 is an apocalyptic number.

It is an amenable number.

3212313320 is an abundant number, since it is smaller than the sum of its proper divisors (4078853080).

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

3212313320 is a wasteful number, since it uses less digits than its factorization.

3212313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1774 counting only the distinct ones).

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

The square root of 3212313320 is about 56677.2733994853. The cubic root of 3212313320 is about 1475.5002910790.

Adding to 3212313320 its reverse (233132123), we get a palindrome (3445445443).

The spelling of 3212313320 in words is "three billion, two hundred twelve million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 227 281 454 562 908 1124 1135 1259 1405 1816 2248 2270 2518 2810 4540 5036 5620 6295 9080 10072 11240 12590 25180 50360 63787 127574 255148 285793 318935 353779 510296 571586 637870 707558 1143172 1275740 1415116 1428965 1768895 2286344 2551480 2830232 2857930 3537790 5715860 7075580 11431720 14151160 80307833 160615666 321231332 401539165 642462664 803078330 1606156660 3212313320