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65340976 = 2423277641
BaseRepresentation
bin1111100101000…
…0011000110000
311112221122222011
43321100120300
5113211402401
610252252304
71422250321
oct371203060
9145848864
1065340976
1133979708
1219a71094
13106c9ccc
14896c448
155b0a451
hex3e50630

65340976 has 40 divisors (see below), whose sum is σ = 132786144. Its totient is φ = 31088640.

The previous prime is 65340971. The next prime is 65340983. The reversal of 65340976 is 67904356.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (65340971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101616 + ... + 102256.

Almost surely, 265340976 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 65340976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66393072).

65340976 is an abundant number, since it is smaller than the sum of its proper divisors (67445168).

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

65340976 is a wasteful number, since it uses less digits than its factorization.

65340976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 65340976 is about 8083.3765222214. The cubic root of 65340976 is about 402.7744121028.

The spelling of 65340976 in words is "sixty-five million, three hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 92 184 277 368 554 641 1108 1282 2216 2564 4432 5128 6371 10256 12742 14743 25484 29486 50968 58972 101936 117944 177557 235888 355114 710228 1420456 2840912 4083811 8167622 16335244 32670488 65340976