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3356320352 = 257114133223
BaseRepresentation
bin1100100000001101…
…0110001001100000
322122220111201222012
43020003112021200
523333204222402
61313013332052
7146113152350
oct31003261140
98586451865
103356320352
111472612180
12798037028
13416471498
1423ba7ab60
151499ca452
hexc80d6260

3356320352 has 96 divisors (see below), whose sum is σ = 8439427584. Its totient is φ = 1275724800.

The previous prime is 3356320351. The next prime is 3356320367. The reversal of 3356320352 is 2530236533.

It is a happy number.

It is a super-2 number, since 2×33563203522 = 22529772610498807808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3356320351) 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 15 ways as a sum of consecutive naturals, for example, 84413 + ... + 117635.

It is an arithmetic number, because the mean of its divisors is an integer number (87910704).

Almost surely, 23356320352 is an apocalyptic number.

3356320352 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 3356320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219713792).

3356320352 is an abundant number, since it is smaller than the sum of its proper divisors (5083107232).

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

3356320352 is a wasteful number, since it uses less digits than its factorization.

3356320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33292 (or 33284 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 32.

The square root of 3356320352 is about 57933.7583106775. The cubic root of 3356320352 is about 1497.2275234806.

Adding to 3356320352 its reverse (2530236533), we get a palindrome (5886556885).

The spelling of 3356320352 in words is "three billion, three hundred fifty-six million, three hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 77 82 88 112 154 164 176 224 287 308 328 352 451 574 616 656 902 1148 1232 1312 1804 2296 2464 3157 3608 4592 6314 7216 9184 12628 14432 25256 33223 50512 66446 101024 132892 232561 265784 365453 465122 531568 730906 930244 1063136 1362143 1461812 1860488 2558171 2724286 2923624 3720976 5116342 5448572 5847248 7441952 9535001 10232684 10897144 11694496 14983573 19070002 20465368 21794288 29967146 38140004 40930736 43588576 59934292 76280008 81861472 104885011 119868584 152560016 209770022 239737168 305120032 419540044 479474336 839080088 1678160176 3356320352