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601343106 = 237139471163
BaseRepresentation
bin100011110101111…
…100010010000010
31112220112101122220
4203311330102002
52212420434411
6135400511510
720621221620
oct4365742202
91486471586
10601343106
11289495a81
1214947b596
1397779030
1459c16510
1537bd5b06
hex23d7c482

601343106 has 64 divisors (see below), whose sum is σ = 1483066368. Its totient is φ = 158292288.

The previous prime is 601343087. The next prime is 601343111.

601343106 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6013431062 = 723227062267454472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516481 + ... + 517643.

It is an arithmetic number, because the mean of its divisors is an integer number (23172912).

Almost surely, 2601343106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601343106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741533184).

601343106 is an abundant number, since it is smaller than the sum of its proper divisors (881723262).

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

601343106 is a wasteful number, since it uses less digits than its factorization.

601343106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 601343106 is about 24522.2981386329. The cubic root of 601343106 is about 844.0615404390.

The spelling of 601343106 in words is "six hundred one million, three hundred forty-three thousand, one hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 947 1163 1894 2326 2841 3489 5682 6629 6978 8141 12311 13258 15119 16282 19887 24423 24622 30238 36933 39774 45357 48846 73866 86177 90714 105833 172354 211666 258531 317499 517062 634998 1101361 2202722 3304083 6608166 7709527 14317693 15419054 23128581 28635386 42953079 46257162 85906158 100223851 200447702 300671553 601343106