Search a number
-
+
601433296 = 24194634273
BaseRepresentation
bin100011110110010…
…010010011010000
31112220200222101021
4203312102103100
52212431331141
6135402445224
720622045562
oct4366222320
91486628337
10601433296
11289547812
12149503814
13977ab0b9
1459c3b332
1537c026d1
hex23d924d0

601433296 has 40 divisors (see below), whose sum is σ = 1229544320. Its totient is φ = 284207616.

The previous prime is 601433267. The next prime is 601433311. The reversal of 601433296 is 692334106.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138616 + ... + 142888.

It is an arithmetic number, because the mean of its divisors is an integer number (30738608).

Almost surely, 2601433296 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 601433296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614772160).

601433296 is an abundant number, since it is smaller than the sum of its proper divisors (628111024).

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

601433296 is a wasteful number, since it uses less digits than its factorization.

601433296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 601433296 is about 24524.1370082619. The cubic root of 601433296 is about 844.1037360420.

The spelling of 601433296 in words is "six hundred one million, four hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 463 926 1852 3704 4273 7408 8546 8797 17092 17594 34184 35188 68368 70376 81187 140752 162374 324748 649496 1298992 1978399 3956798 7913596 15827192 31654384 37589581 75179162 150358324 300716648 601433296