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73388 = 2272621
BaseRepresentation
bin10001111010101100
310201200002
4101322230
54322023
61323432
7423650
oct217254
9121602
1073388
1150157
1236578
1327533
141ca60
1516b28
hex11eac

73388 has 12 divisors (see below), whose sum is σ = 146832. Its totient is φ = 31440.

The previous prime is 73387. The next prime is 73417. The reversal of 73388 is 88337.

It can be divided in two parts, 7 and 3388, that multiplied together give a square (23716 = 1542).

73388 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 73388.

It is not an unprimeable number, because it can be changed into a prime (73387) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1283 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (12236).

273388 is an apocalyptic number.

It is an amenable number.

73388 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (73416).

73388 is a wasteful number, since it uses less digits than its factorization.

73388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2630 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 73388 is about 270.9021963735. The cubic root of 73388 is about 41.8673060788.

The spelling of 73388 in words is "seventy-three thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 2621 5242 10484 18347 36694 73388