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3341044032 = 263231395443
BaseRepresentation
bin1100011100100100…
…0100100101000000
322121211202121210120
43013021010211000
523320301402112
61311310100240
7145536256104
oct30711044500
98554677716
103341044032
111464a28917
12792aaa680
13413253141
14239a21904
151484ade8c
hexc7244940

3341044032 has 112 divisors (see below), whose sum is σ = 9292254720. Its totient is φ = 1057402368.

The previous prime is 3341044027. The next prime is 3341044061. The reversal of 3341044032 is 2304401433.

It is a super-2 number, since 2×33410440322 = 22325150447525634048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3341043993 and 3341044011.

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, 611103 + ... + 616545.

It is an arithmetic number, because the mean of its divisors is an integer number (82966560).

Almost surely, 23341044032 is an apocalyptic number.

3341044032 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 3341044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646127360).

3341044032 is an abundant number, since it is smaller than the sum of its proper divisors (5951210688).

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

3341044032 is a wasteful number, since it uses less digits than its factorization.

3341044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3341044032 is about 57801.7649557520. The cubic root of 3341044032 is about 1494.9525205743.

Adding to 3341044032 its reverse (2304401433), we get a palindrome (5645445465).

The spelling of 3341044032 in words is "three billion, three hundred forty-one million, forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 139 184 192 276 278 368 417 552 556 736 834 1104 1112 1472 1668 2208 2224 3197 3336 4416 4448 5443 6394 6672 8896 9591 10886 12788 13344 16329 19182 21772 25576 26688 32658 38364 43544 51152 65316 76728 87088 102304 125189 130632 153456 174176 204608 250378 261264 306912 348352 375567 500756 522528 613824 751134 756577 1001512 1045056 1502268 1513154 2003024 2269731 3004536 3026308 4006048 4539462 6009072 6052616 8012096 9078924 12018144 12105232 17401271 18157848 24036288 24210464 34802542 36315696 48420928 52203813 69605084 72631392 104407626 139210168 145262784 208815252 278420336 417630504 556840672 835261008 1113681344 1670522016 3341044032