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3441044100 = 22352131635413
BaseRepresentation
bin1100110100011010…
…0010101010000100
322212210221011002210
43031012202222010
524021401402400
61325241303420
7151162251354
oct31506425204
98783834083
103441044100
11150641a3aa
12800494b70
1342ab96990
14249012b64
15152163950
hexcd1a2a84

3441044100 has 144 divisors (see below), whose sum is σ = 10789712192. Its totient is φ = 841674240.

The previous prime is 3441044081. The next prime is 3441044147. The reversal of 3441044100 is 14401443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632994 + ... + 638406.

Almost surely, 23441044100 is an apocalyptic number.

3441044100 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 3441044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394856096).

3441044100 is an abundant number, since it is smaller than the sum of its proper divisors (7348668092).

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

3441044100 is a wasteful number, since it uses less digits than its factorization.

3441044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3441044100 is about 58660.4133977932. The cubic root of 3441044100 is about 1509.7211741944.

Adding to 3441044100 its reverse (14401443), we get a palindrome (3455445543).

The spelling of 3441044100 in words is "three billion, four hundred forty-one million, forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 163 195 260 300 325 326 390 489 650 652 780 815 975 978 1300 1630 1950 1956 2119 2445 3260 3900 4075 4238 4890 5413 6357 8150 8476 9780 10595 10826 12225 12714 16239 16300 21190 21652 24450 25428 27065 31785 32478 42380 48900 52975 54130 63570 64956 70369 81195 105950 108260 127140 135325 140738 158925 162390 211107 211900 270650 281476 317850 324780 351845 405975 422214 541300 635700 703690 811950 844428 882319 1055535 1407380 1623900 1759225 1764638 2111070 2646957 3518450 3529276 4222140 4411595 5277675 5293914 7036900 8823190 10555350 10587828 11470147 13234785 17646380 21110700 22057975 22940294 26469570 34410441 44115950 45880588 52939140 57350735 66173925 68820882 88231900 114701470 132347850 137641764 172052205 229402940 264695700 286753675 344104410 573507350 688208820 860261025 1147014700 1720522050 3441044100