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373728 = 25317229
BaseRepresentation
bin1011011001111100000
3200222122210
41123033200
543424403
612002120
73114405
oct1331740
9628583
10373728
11235873
12160340
13101154
149a2ac
1575b03
hex5b3e0

373728 has 48 divisors (see below), whose sum is σ = 1043280. Its totient is φ = 116736.

The previous prime is 373721. The next prime is 373753. The reversal of 373728 is 827373.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 373695 and 373704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (373721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1518 + ... + 1746.

It is an arithmetic number, because the mean of its divisors is an integer number (21735).

2373728 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 373728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521640).

373728 is an abundant number, since it is smaller than the sum of its proper divisors (669552).

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

373728 is a wasteful number, since it uses less digits than its factorization.

373728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 373728 is about 611.3329698290. The cubic root of 373728 is about 72.0308509764.

The spelling of 373728 in words is "three hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 229 272 408 458 544 687 816 916 1374 1632 1832 2748 3664 3893 5496 7328 7786 10992 11679 15572 21984 23358 31144 46716 62288 93432 124576 186864 373728