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64341640 = 23511349419
BaseRepresentation
bin1111010101110…
…0011010001000
311111001220010201
43311130122020
5112432413030
610215021544
71410615646
oct365343210
9144056121
1064341640
1133356910
121966a8b4
131043a19c
14878c196
1559ae2ca
hex3d5c688

64341640 has 64 divisors (see below), whose sum is σ = 158760000. Its totient is φ = 23274240.

The previous prime is 64341623. The next prime is 64341643. The reversal of 64341640 is 4614346.

It is a happy number.

64341640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64341599 and 64341608.

It is not an unprimeable number, because it can be changed into a prime (64341643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153351 + ... + 153769.

It is an arithmetic number, because the mean of its divisors is an integer number (2480625).

Almost surely, 264341640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64341640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380000).

64341640 is an abundant number, since it is smaller than the sum of its proper divisors (94418360).

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

64341640 is a wasteful number, since it uses less digits than its factorization.

64341640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 64341640 is about 8021.3240802252. The cubic root of 64341640 is about 400.7104872724.

Adding to 64341640 its reverse (4614346), we get a palindrome (68955986).

The spelling of 64341640 in words is "sixty-four million, three hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 349 419 440 698 838 1396 1676 1745 2095 2792 3352 3490 3839 4190 4609 6980 7678 8380 9218 13960 15356 16760 18436 19195 23045 30712 36872 38390 46090 76780 92180 146231 153560 184360 292462 584924 731155 1169848 1462310 1608541 2924620 3217082 5849240 6434164 8042705 12868328 16085410 32170820 64341640