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3360044352 = 26375874259
BaseRepresentation
bin1100100001000110…
…0011010101000000
322200011111221100010
43020101203111000
523340132404402
61313225224520
7146156622450
oct31021432500
98604457303
103360044352
111474726065
12799332140
13417176532
1423c369d60
15149eb3a6c
hexc8463540

3360044352 has 112 divisors (see below), whose sum is σ = 10179832320. Its totient is φ = 958152192.

The previous prime is 3360044287. The next prime is 3360044431. The reversal of 3360044352 is 2534400633.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33600443522 = 22579796094814199808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 786799 + ... + 791057.

It is an arithmetic number, because the mean of its divisors is an integer number (90891360).

Almost surely, 23360044352 is an apocalyptic number.

3360044352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3360044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089916160).

3360044352 is an abundant number, since it is smaller than the sum of its proper divisors (6819787968).

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

3360044352 is a wasteful number, since it uses less digits than its factorization.

3360044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 3360044352 is about 57965.8895558414. The cubic root of 3360044352 is about 1497.7810676224.

Adding to 3360044352 its reverse (2534400633), we get a palindrome (5894444985).

The spelling of 3360044352 in words is "three billion, three hundred sixty million, forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 587 672 1174 1344 1761 2348 3522 4109 4259 4696 7044 8218 8518 9392 12327 12777 14088 16436 17036 18784 24654 25554 28176 29813 32872 34072 37568 49308 51108 56352 59626 65744 68144 89439 98616 102216 112704 119252 131488 136288 178878 197232 204432 238504 262976 272576 357756 394464 408864 477008 715512 788928 817728 954016 1431024 1908032 2500033 2862048 5000066 5724096 7500099 10000132 15000198 17500231 20000264 30000396 35000462 40000528 52500693 60000792 70000924 80001056 105001386 120001584 140001848 160002112 210002772 240003168 280003696 420005544 480006336 560007392 840011088 1120014784 1680022176 3360044352