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3444717444 = 223734319463
BaseRepresentation
bin1100110101010010…
…0011011110000100
322220001211202222120
43031110203132010
524023321424234
61325452125540
7151235421000
oct31524433604
98801752876
103444717444
1115084a9223
128017668b0
1342b88195c
142496cb700
1515263c049
hexcd523784

3444717444 has 96 divisors (see below), whose sum is σ = 9591859200. Its totient is φ = 961267104.

The previous prime is 3444717439. The next prime is 3444717449. The reversal of 3444717444 is 4447174443.

It is an interprime number because it is at equal distance from previous prime (3444717439) and next prime (3444717449).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3444717396 and 3444717405.

It is not an unprimeable number, because it can be changed into a prime (3444717449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167257 + ... + 186719.

It is an arithmetic number, because the mean of its divisors is an integer number (99915200).

Almost surely, 23444717444 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 3444717444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795929600).

3444717444 is an abundant number, since it is smaller than the sum of its proper divisors (6147141756).

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

3444717444 is a wasteful number, since it uses less digits than its factorization.

3444717444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19534 (or 19518 counting only the distinct ones).

The product of its digits is 602112, while the sum is 42.

The square root of 3444717444 is about 58691.7152927055. The cubic root of 3444717444 is about 1510.2581965686.

The spelling of 3444717444 in words is "three billion, four hundred forty-four million, seven hundred seventeen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 343 516 588 602 686 903 1029 1204 1372 1806 2058 2107 3612 4116 4214 6321 8428 12642 14749 19463 25284 29498 38926 44247 58389 58996 77852 88494 116778 136241 176988 233556 272482 408723 544964 817446 836909 953687 1634892 1673818 1907374 2510727 2861061 3347636 3814748 5021454 5722122 5858363 6675809 10042908 11444244 11716726 13351618 17575089 20027427 23433452 26703236 35150178 40054854 41008541 70300356 80109708 82017082 123025623 164034164 246051246 287059787 492102492 574119574 861179361 1148239148 1722358722 3444717444