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65134336 = 28436197
BaseRepresentation
bin1111100001110…
…1111100000000
311112120011111211
43320131330000
5113133244321
610244015504
71420430011
oct370357400
9145504454
1065134336
1133848433
1219991594
1310656c37
148917008
155ab90e1
hex3e1df00

65134336 has 72 divisors (see below), whose sum is σ = 136612784. Its totient is φ = 30965760.

The previous prime is 65134313. The next prime is 65134343. The reversal of 65134336 is 63343156.

65134336 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 = 65134298 and 65134307.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 671440 + ... + 671536.

Almost surely, 265134336 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 65134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68306392).

65134336 is an abundant number, since it is smaller than the sum of its proper divisors (71478448).

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

65134336 is an equidigital number, since it uses as much as digits as its factorization.

65134336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its digits is 19440, while the sum is 31.

The square root of 65134336 is about 8070.5846132731. The cubic root of 65134336 is about 402.3493740878.

The spelling of 65134336 in words is "sixty-five million, one hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 61 64 86 97 122 128 172 194 244 256 344 388 488 688 776 976 1376 1552 1952 2623 2752 3104 3904 4171 5246 5504 5917 6208 7808 8342 10492 11008 11834 12416 15616 16684 20984 23668 24832 33368 41968 47336 66736 83936 94672 133472 167872 189344 254431 266944 335744 378688 508862 533888 671488 757376 1017724 1067776 1514752 2035448 4070896 8141792 16283584 32567168 65134336