Search a number
-
+
601317376 = 213116673
BaseRepresentation
bin100011110101110…
…110000000000000
31112220111002100221
4203311312000000
52212414124001
6135400152424
720621053612
oct4365660000
91486432327
10601317376
11289478710
12149468714
139776a3ca
1459c0adb2
1537bcd1a1
hex23d76000

601317376 has 56 divisors (see below), whose sum is σ = 1312081704. Its totient is φ = 273285120.

The previous prime is 601317373. The next prime is 601317391. The reversal of 601317376 is 673713106.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601317371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86776 + ... + 93448.

Almost surely, 2601317376 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 601317376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656040852).

601317376 is an abundant number, since it is smaller than the sum of its proper divisors (710764328).

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

601317376 is an equidigital number, since it uses as much as digits as its factorization.

601317376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6710 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 601317376 is about 24521.7735084557. The cubic root of 601317376 is about 844.0495018247.

The spelling of 601317376 in words is "six hundred one million, three hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 6673 8192 11264 13346 22528 26692 45056 53384 73403 90112 106768 146806 213536 293612 427072 587224 854144 1174448 1708288 2348896 3416576 4697792 6833152 9395584 13666304 18791168 27332608 37582336 54665216 75164672 150329344 300658688 601317376