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746328 = 233112257
BaseRepresentation
bin10110110001101011000
31101220202210
42312031120
5142340303
623555120
76225612
oct2661530
91356683
10746328
1146a800
122bbaa0
1320191b
14155db2
15eb203
hexb6358

746328 has 48 divisors (see below), whose sum is σ = 2058840. Its totient is φ = 225280.

The previous prime is 746309. The next prime is 746329. The reversal of 746328 is 823647.

746328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (8064) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 746295 and 746304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2776 + ... + 3032.

2746328 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 746328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029420).

746328 is an abundant number, since it is smaller than the sum of its proper divisors (1312512).

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

746328 is a wasteful number, since it uses less digits than its factorization.

746328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 746328 is about 863.9027723072. The cubic root of 746328 is about 90.7075099527.

The spelling of 746328 in words is "seven hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 257 264 363 484 514 726 771 968 1028 1452 1542 2056 2827 2904 3084 5654 6168 8481 11308 16962 22616 31097 33924 62194 67848 93291 124388 186582 248776 373164 746328