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601661376 = 263229181199
BaseRepresentation
bin100011110111001…
…001111111000000
31112221010120020200
4203313021333000
52213011131001
6135411405200
720624015541
oct4367117700
91487116220
10601661376
11289693108
121495b3800
139785ab64
1459c9a4c8
1537c4a086
hex23dc9fc0

601661376 has 168 divisors, whose sum is σ = 1802892000. Its totient is φ = 191600640.

The previous prime is 601661351. The next prime is 601661377. The reversal of 601661376 is 673166106.

It is a super-2 number, since 2×6016613762 = 723992822740426752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 601661376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601661377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3023325 + ... + 3023523.

It is an arithmetic number, because the mean of its divisors is an integer number (10731500).

Almost surely, 2601661376 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 601661376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901446000).

601661376 is an abundant number, since it is smaller than the sum of its proper divisors (1201230624).

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

601661376 is a wasteful number, since it uses less digits than its factorization.

601661376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 601661376 is about 24528.7866801438. The cubic root of 601661376 is about 844.2104249853.

The spelling of 601661376 in words is "six hundred one million, six hundred sixty-one thousand, three hundred seventy-six".