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746664 = 23353587
BaseRepresentation
bin10110110010010101000
31101221020020
42312102220
5142343124
624000440
76226602
oct2662250
91357206
10746664
1146aa86
12300120
13201b19
14156172
15eb379
hexb64a8

746664 has 32 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 243776.

The previous prime is 746659. The next prime is 746671. The reversal of 746664 is 466647.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

746664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979 + ... + 1565.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

746664 is a Friedman number, since it can be written as 4*(7*6+6^6*4), using all its digits and the basic arithmetic operations.

2746664 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 746664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

746664 is an abundant number, since it is smaller than the sum of its proper divisors (1158456).

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

746664 is a wasteful number, since it uses less digits than its factorization.

746664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 746664 is about 864.0972167528. The cubic root of 746664 is about 90.7211202111.

The spelling of 746664 in words is "seven hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 587 636 1174 1272 1761 2348 3522 4696 7044 14088 31111 62222 93333 124444 186666 248888 373332 746664