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6030444 = 22371741103
BaseRepresentation
bin10111000000010001101100
3102100101012210
4113000101230
53020433234
6333130420
7102154320
oct27002154
912311183
106030444
113449842
122029a10
131331b14
14b2d980
157e1be9
hex5c046c

6030444 has 96 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 1566720.

The previous prime is 6030433. The next prime is 6030473. The reversal of 6030444 is 4440306.

6030444 = T257 + T258 + ... + T375.

It is a super-3 number, since 3×60304443 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 6030444.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58497 + ... + 58599.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 26030444 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 6030444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

6030444 is an abundant number, since it is smaller than the sum of its proper divisors (11581332).

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

6030444 is a wasteful number, since it uses less digits than its factorization.

6030444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6030444 is about 2455.6962352864. The cubic root of 6030444 is about 182.0188765994.

The spelling of 6030444 in words is "six million, thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 41 42 51 68 82 84 102 103 119 123 164 204 206 238 246 287 309 357 412 476 492 574 618 697 714 721 861 1148 1236 1394 1428 1442 1722 1751 2091 2163 2788 2884 3444 3502 4182 4223 4326 4879 5253 7004 8364 8446 8652 9758 10506 12257 12669 14637 16892 19516 21012 24514 25338 29274 29561 36771 49028 50676 58548 59122 71791 73542 88683 118244 143582 147084 177366 215373 287164 354732 430746 502537 861492 1005074 1507611 2010148 3015222 6030444