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68464 = 2411389
BaseRepresentation
bin10000101101110000
310110220201
4100231300
54142324
61244544
7403414
oct205560
9113821
1068464
1147490
1233754
1325216
141ad44
1515444
hex10b70

68464 has 20 divisors (see below), whose sum is σ = 145080. Its totient is φ = 31040.

The previous prime is 68449. The next prime is 68473. The reversal of 68464 is 46486.

It is a congruent number.

It is an unprimeable number.

68464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19 + ... + 370.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

268464 is an apocalyptic number.

It is an amenable number.

68464 is an abundant number, since it is smaller than the sum of its proper divisors (76616).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72540).

68464 is a wasteful number, since it uses less digits than its factorization.

68464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 68464 is about 261.6562630628. The cubic root of 68464 is about 40.9091783013.

The spelling of 68464 in words is "sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 389 778 1556 3112 4279 6224 8558 17116 34232 68464