Search a number
-
+
64341420 = 223511137499
BaseRepresentation
bin1111010101110…
…0010110101100
311111001212211120
43311130112230
5112432411140
610215020540
71410615213
oct365342654
9144055746
1064341420
1133356730
121966a750
131043a060
14878c07a
1559ae1d0
hex3d5c5ac

64341420 has 96 divisors (see below), whose sum is σ = 211680000. Its totient is φ = 14396160.

The previous prime is 64341383. The next prime is 64341421. The reversal of 64341420 is 2414346.

It is not an unprimeable number, because it can be changed into a prime (64341421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4831 + ... + 12329.

It is an arithmetic number, because the mean of its divisors is an integer number (2205000).

Almost surely, 264341420 is an apocalyptic number.

64341420 is a gapful number since it is divisible by the number (60) 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 64341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840000).

64341420 is an abundant number, since it is smaller than the sum of its proper divisors (147338580).

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

64341420 is a wasteful number, since it uses less digits than its factorization.

64341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 64341420 is about 8021.3103667668. The cubic root of 64341420 is about 400.7100305624.

Adding to 64341420 its reverse (2414346), we get a palindrome (66755766).

The spelling of 64341420 in words is "sixty-four million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 7499 8580 14998 22497 29996 37495 44994 74990 82489 89988 97487 112485 149980 164978 194974 224970 247467 292461 329956 389948 412445 449940 487435 494934 584922 824890 974870 989868 1072357 1169844 1237335 1462305 1649780 1949740 2144714 2474670 2924610 3217071 4289428 4949340 5361785 5849220 6434142 10723570 12868284 16085355 21447140 32170710 64341420