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3044441040 = 24351031071151
BaseRepresentation
bin1011010101110110…
…0111101111010000
321212011122121222120
42311131213233100
522213334103130
61222032534240
7135305215254
oct26535475720
97764577876
103044441040
111322564683
1270b6b1380
13396974604
1420c494264
1512c421910
hexb5767bd0

3044441040 has 160 divisors (see below), whose sum is σ = 9626812416. Its totient is φ = 795763200.

The previous prime is 3044440981. The next prime is 3044441051. The reversal of 3044441040 is 401444403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3044441040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2644465 + ... + 2645615.

Almost surely, 23044441040 is an apocalyptic number.

3044441040 is a gapful number since it is divisible by the number (30) 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 3044441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813406208).

3044441040 is an abundant number, since it is smaller than the sum of its proper divisors (6582371376).

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

3044441040 is a wasteful number, since it uses less digits than its factorization.

3044441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3044441040 is about 55176.4536736460. The cubic root of 3044441040 is about 1449.3363653594.

Adding to 3044441040 its reverse (401444403), we get a palindrome (3445885443).

The spelling of 3044441040 in words is "three billion, forty-four million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 107 120 206 214 240 309 321 412 428 515 535 618 642 824 856 1030 1070 1151 1236 1284 1545 1605 1648 1712 2060 2140 2302 2472 2568 3090 3210 3453 4120 4280 4604 4944 5136 5755 6180 6420 6906 8240 8560 9208 11021 11510 12360 12840 13812 17265 18416 22042 23020 24720 25680 27624 33063 34530 44084 46040 55105 55248 66126 69060 88168 92080 110210 118553 123157 132252 138120 165315 176336 220420 237106 246314 264504 276240 330630 355659 369471 440840 474212 492628 529008 592765 615785 661260 711318 738942 881680 948424 985256 1185530 1231570 1322520 1422636 1477884 1778295 1847355 1896848 1970512 2371060 2463140 2645040 2845272 2955768 3556590 3694710 4742120 4926280 5690544 5911536 7113180 7389420 9484240 9852560 12685171 14226360 14778840 25370342 28452720 29557680 38055513 50740684 63425855 76111026 101481368 126851710 152222052 190277565 202962736 253703420 304444104 380555130 507406840 608888208 761110260 1014813680 1522220520 3044441040