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3441443300 = 2252316131811
BaseRepresentation
bin1100110100100000…
…0100000111100100
322212211200102200222
43031020010013210
524022002141200
61325254023512
7151165533251
oct31510040744
98784612628
103441443300
111506672319
12800647b98
1342aca65a9
142490b8428
151521e1d85
hexcd2041e4

3441443300 has 72 divisors (see below), whose sum is σ = 7725672192. Its totient is φ = 1329264000.

The previous prime is 3441443279. The next prime is 3441443323. The reversal of 3441443300 is 33441443.

It is a super-2 number, since 2×34414433002 = 23687063974229780000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3441443300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1899395 + ... + 1901205.

Almost surely, 23441443300 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 3441443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862836096).

3441443300 is an abundant number, since it is smaller than the sum of its proper divisors (4284228892).

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

3441443300 is a wasteful number, since it uses less digits than its factorization.

3441443300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3441443300 is about 58663.8159345265. The cubic root of 3441443300 is about 1509.7795535090.

Adding to 3441443300 its reverse (33441443), we get a palindrome (3474884743).

The spelling of 3441443300 in words is "three billion, four hundred forty-one million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 613 620 775 1226 1550 1811 2452 3065 3100 3622 6130 7244 9055 12260 15325 18110 19003 30650 36220 38006 45275 56141 61300 76012 90550 95015 112282 181100 190030 224564 280705 380060 475075 561410 950150 1110143 1122820 1403525 1900300 2220286 2807050 4440572 5550715 5614100 11101430 22202860 27753575 34414433 55507150 68828866 111014300 137657732 172072165 344144330 688288660 860360825 1720721650 3441443300