Search a number
-
+
3320415420 = 22357210391087
BaseRepresentation
bin1100010111101001…
…1000010010111100
322120101221120122220
43011322120102330
523300011243140
61305252005340
7145166031300
oct30572302274
98511846586
103320415420
111454319283
12788000850
1340bbac86a
14236db1d00
15146786bd0
hexc5e984bc

3320415420 has 144 divisors (see below), whose sum is σ = 10835435520. Its totient is φ = 757524096.

The previous prime is 3320415403. The next prime is 3320415421. The reversal of 3320415420 is 245140233.

3320415420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33204154202 = 22050317122747552800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320415421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3054117 + ... + 3055203.

It is an arithmetic number, because the mean of its divisors is an integer number (75246080).

Almost surely, 23320415420 is an apocalyptic number.

3320415420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417717760).

3320415420 is an abundant number, since it is smaller than the sum of its proper divisors (7515020100).

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

3320415420 is a wasteful number, since it uses less digits than its factorization.

3320415420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3320415420 is about 57623.0459104688. The cubic root of 3320415420 is about 1491.8694041236.

Adding to 3320415420 its reverse (245140233), we get a palindrome (3565555653).

The spelling of 3320415420 in words is "three billion, three hundred twenty million, four hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1039 1087 1470 2078 2174 2940 3117 3261 4156 4348 5195 5435 6234 6522 7273 7609 10390 10870 12468 13044 14546 15218 15585 16305 20780 21740 21819 22827 29092 30436 31170 32610 36365 38045 43638 45654 50911 53263 62340 65220 72730 76090 87276 91308 101822 106526 109095 114135 145460 152180 152733 159789 203644 213052 218190 228270 254555 266315 305466 319578 436380 456540 509110 532630 610932 639156 763665 798945 1018220 1065260 1129393 1527330 1597890 2258786 3054660 3195780 3388179 4517572 5646965 6776358 7905751 11293930 13552716 15811502 16940895 22587860 23717253 31623004 33881790 39528755 47434506 55340257 67763580 79057510 94869012 110680514 118586265 158115020 166020771 221361028 237172530 276701285 332041542 474345060 553402570 664083084 830103855 1106805140 1660207710 3320415420