[go: up one dir, main page]

Search a number
-
+
64242354 = 231117311847
BaseRepresentation
bin1111010100010…
…0001010110010
311110212211221110
43311010022302
5112421223404
610212534150
71410023331
oct365041262
9143784843
1064242354
1133299260
1219621356
1310403c37
148763d18
15598eb89
hex3d442b2

64242354 has 64 divisors (see below), whose sum is σ = 153280512. Its totient is φ = 17721600.

The previous prime is 64242329. The next prime is 64242361. The reversal of 64242354 is 45324246.

It is a super-3 number, since 3×642423543 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

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, 33859 + ... + 35705.

It is an arithmetic number, because the mean of its divisors is an integer number (2395008).

Almost surely, 264242354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64242354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76640256).

64242354 is an abundant number, since it is smaller than the sum of its proper divisors (89038158).

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

64242354 is a wasteful number, since it uses less digits than its factorization.

64242354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911.

The product of its digits is 23040, while the sum is 30.

The square root of 64242354 is about 8015.1328123744. The cubic root of 64242354 is about 400.5042681835.

It can be divided in two parts, 6424 and 2354, that added together give a palindrome (8778).

The spelling of 64242354 in words is "sixty-four million, two hundred forty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 102 186 187 341 374 527 561 682 1023 1054 1122 1581 1847 2046 3162 3694 5541 5797 11082 11594 17391 20317 31399 34782 40634 57257 60951 62798 94197 114514 121902 171771 188394 343542 345389 629827 690778 973369 1036167 1259654 1889481 1946738 2072334 2920107 3778962 5840214 10707059 21414118 32121177 64242354