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64306040 = 23541113347
BaseRepresentation
bin1111010101001…
…1101101111000
311111000002022012
43311103231320
5112430243130
610214145052
71410410111
oct365235570
9144002265
1064306040
1133332097
1219652188
1310426c16
14877d208
1559a3995
hex3d53b78

64306040 has 64 divisors (see below), whose sum is σ = 149960160. Its totient is φ = 24801280.

The previous prime is 64306009. The next prime is 64306043. The reversal of 64306040 is 4060346.

It is a junction number, because it is equal to n+sod(n) for n = 64305997 and 64306015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64306043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185147 + ... + 185493.

Almost surely, 264306040 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 64306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74980080).

64306040 is an abundant number, since it is smaller than the sum of its proper divisors (85654120).

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

64306040 is a wasteful number, since it uses less digits than its factorization.

64306040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 64306040 is about 8019.1046881806. The cubic root of 64306040 is about 400.6365697433.

Adding to 64306040 its reverse (4060346), we get a palindrome (68366386).

The spelling of 64306040 in words is "sixty-four million, three hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 113 164 205 226 328 347 410 452 565 694 820 904 1130 1388 1640 1735 2260 2776 3470 4520 4633 6940 9266 13880 14227 18532 23165 28454 37064 39211 46330 56908 71135 78422 92660 113816 142270 156844 185320 196055 284540 313688 392110 569080 784220 1568440 1607651 3215302 6430604 8038255 12861208 16076510 32153020 64306040