Search a number
-
+
3344235020 = 2257157233653
BaseRepresentation
bin1100011101010100…
…1111101000001100
322122001202202000022
43013111033220030
523322111010040
61311502321312
7145605346220
oct30725175014
98561682008
103344235020
1114668082a5
12793b89238
13413acc6b9
1423a212780
151488de6b5
hexc754fa0c

3344235020 has 96 divisors (see below), whose sum is σ = 8124375168. Its totient is φ = 1132664832.

The previous prime is 3344234989. The next prime is 3344235043. The reversal of 3344235020 is 205324433.

3344235020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33442350202 = 22367815737988800800, which contains 22 as substring.

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, 5121014 + ... + 5121666.

It is an arithmetic number, because the mean of its divisors is an integer number (84628908).

Almost surely, 23344235020 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 3344235020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062187584).

3344235020 is an abundant number, since it is smaller than the sum of its proper divisors (4780140148).

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

3344235020 is a wasteful number, since it uses less digits than its factorization.

3344235020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 3344235020 is about 57829.3612276670. The cubic root of 3344235020 is about 1495.4283057485.

Adding to 3344235020 its reverse (205324433), we get a palindrome (3549559453).

The spelling of 3344235020 in words is "three billion, three hundred forty-four million, two hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 233 314 466 628 653 785 932 1099 1165 1306 1570 1631 2198 2330 2612 3140 3262 3265 4396 4571 4660 5495 6524 6530 8155 9142 10990 13060 16310 18284 21980 22855 32620 36581 45710 73162 91420 102521 146324 152149 182905 205042 256067 304298 365810 410084 512134 512605 608596 717647 731620 760745 1024268 1025210 1065043 1280335 1435294 1521490 2050420 2130086 2560670 2870588 3042980 3588235 4260172 5121340 5325215 7176470 10650430 14352940 21300860 23887393 47774786 95549572 119436965 167211751 238873930 334423502 477747860 668847004 836058755 1672117510 3344235020