Search a number
-
+
3401355420 = 2232546340813
BaseRepresentation
bin1100101010111100…
…1001000010011100
322210001020202110200
43022233021002130
523431221333140
61321302503500
7150201021051
oct31257110234
98701222420
103401355420
111495a81741
127ab134b90
134228aba58
14243a41028
1514d924030
hexcabc909c

3401355420 has 72 divisors (see below), whose sum is σ = 10339982016. Its totient is φ = 905046912.

The previous prime is 3401355403. The next prime is 3401355421. The reversal of 3401355420 is 245531043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401355421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62934 + ... + 103746.

Almost surely, 23401355420 is an apocalyptic number.

3401355420 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 3401355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169991008).

3401355420 is an abundant number, since it is smaller than the sum of its proper divisors (6938626596).

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

3401355420 is a wasteful number, since it uses less digits than its factorization.

3401355420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41291 (or 41286 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3401355420 is about 58321.1404209486. The cubic root of 3401355420 is about 1503.8943870827.

Adding to 3401355420 its reverse (245531043), we get a palindrome (3646886463).

The spelling of 3401355420 in words is "three billion, four hundred one million, three hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 463 926 1389 1852 2315 2778 4167 4630 5556 6945 8334 9260 13890 16668 20835 27780 40813 41670 81626 83340 122439 163252 204065 244878 367317 408130 489756 612195 734634 816260 1224390 1469268 1836585 2448780 3673170 7346340 18896419 37792838 56689257 75585676 94482095 113378514 170067771 188964190 226757028 283446285 340135542 377928380 566892570 680271084 850338855 1133785140 1700677710 3401355420