Search a number
-
+
744096 = 25323337
BaseRepresentation
bin10110101101010100000
31101210201010
42311222200
5142302341
623540520
76216243
oct2655240
91353633
10744096
11469061
122ba740
132008c2
1415525a
15ea716
hexb5aa0

744096 has 48 divisors (see below), whose sum is σ = 2044224. Its totient is φ = 236544.

The previous prime is 744083. The next prime is 744113. The reversal of 744096 is 690447.

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

It is a congruent number.

It is an unprimeable number.

744096 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, 2040 + ... + 2376.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2744096 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 744096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022112).

744096 is an abundant number, since it is smaller than the sum of its proper divisors (1300128).

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

744096 is a wasteful number, since it uses less digits than its factorization.

744096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 744096 is about 862.6099929864. The cubic root of 744096 is about 90.6169950916.

The spelling of 744096 in words is "seven hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 337 368 552 674 736 1011 1104 1348 2022 2208 2696 4044 5392 7751 8088 10784 15502 16176 23253 31004 32352 46506 62008 93012 124016 186024 248032 372048 744096