Search a number
-
+
64413342 = 2327310433
BaseRepresentation
bin1111010110110…
…1111010011110
311111012112111100
43311231322132
5112442211332
610220333530
71411335000
oct365557236
9144175440
1064413342
11333a5774
12196a42a6
1310463a06
1487aa370
1559c567c
hex3d6de9e

64413342 has 48 divisors (see below), whose sum is σ = 162770400. Its totient is φ = 18402048.

The previous prime is 64413341. The next prime is 64413373. The reversal of 64413342 is 24331446.

64413342 is a `hidden beast` number, since 644 + 13 + 3 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64413341) 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, 958 + ... + 11390.

It is an arithmetic number, because the mean of its divisors is an integer number (3391050).

Almost surely, 264413342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64413342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81385200).

64413342 is an abundant number, since it is smaller than the sum of its proper divisors (98357058).

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

64413342 is a wasteful number, since it uses less digits than its factorization.

64413342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10462 (or 10445 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 64413342 is about 8025.7922973374. The cubic root of 64413342 is about 400.8592819313.

Adding to 64413342 its reverse (24331446), we get a palindrome (88744788).

The spelling of 64413342 in words is "sixty-four million, four hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 10433 20866 31299 62598 73031 93897 146062 187794 219093 438186 511217 657279 1022434 1314558 1533651 3067302 3578519 4600953 7157038 9201906 10735557 21471114 32206671 64413342