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3444050240 = 26553613329
BaseRepresentation
bin1100110101001000…
…0000100101000000
322220000120212202022
43031102000211000
524023134101430
61325425541012
7151226641541
oct31522004500
98800525668
103444050240
111508092a14
128014a4768
1342b6aa067
142495964c8
151525594e5
hexcd480940

3444050240 has 112 divisors (see below), whose sum is σ = 8495416080. Its totient is φ = 1329070080.

The previous prime is 3444050231. The next prime is 3444050303. The reversal of 3444050240 is 420504443.

It can be written as a sum of positive squares in 8 ways, for example, as 328624384 + 3115425856 = 18128^2 + 55816^2 .

It is a super-2 number, since 2×34440502402 = 23722964111288115200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032896 + ... + 1036224.

Almost surely, 23444050240 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 3444050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247708040).

3444050240 is an abundant number, since it is smaller than the sum of its proper divisors (5051365840).

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

3444050240 is a wasteful number, since it uses less digits than its factorization.

3444050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 3444050240 is about 58686.0310465787. The cubic root of 3444050240 is about 1510.1606834547.

Adding to 3444050240 its reverse (420504443), we get a palindrome (3864554683).

The spelling of 3444050240 in words is "three billion, four hundred forty-four million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 61 64 80 106 122 160 212 244 265 305 320 424 488 530 610 848 976 1060 1220 1696 1952 2120 2440 3233 3329 3392 3904 4240 4880 6466 6658 8480 9760 12932 13316 16165 16645 16960 19520 25864 26632 32330 33290 51728 53264 64660 66580 103456 106528 129320 133160 176437 203069 206912 213056 258640 266320 352874 406138 517280 532640 705748 812276 882185 1015345 1034560 1065280 1411496 1624552 1764370 2030690 2822992 3249104 3528740 4061380 5645984 6498208 7057480 8122760 10762657 11291968 12996416 14114960 16245520 21525314 28229920 32491040 43050628 53813285 56459840 64982080 86101256 107626570 172202512 215253140 344405024 430506280 688810048 861012560 1722025120 3444050240