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3441233040 = 243572048353
BaseRepresentation
bin1100110100011101…
…0000110010010000
322212211021202021120
43031013100302100
524021423424130
61325245322240
7151163666250
oct31507206220
98784252246
103441233040
111506539353
12800566380
1342ac3198b
14249061960
1515219e910
hexcd1d0c90

3441233040 has 80 divisors (see below), whose sum is σ = 12191803008. Its totient is φ = 786567168.

The previous prime is 3441233023. The next prime is 3441233071. The reversal of 3441233040 is 403321443.

It is a tau number, because it is divible by the number of its divisors (80).

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 3441233040.

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 15 ways as a sum of consecutive naturals, for example, 1022497 + ... + 1025856.

Almost surely, 23441233040 is an apocalyptic number.

3441233040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3441233040 is an abundant number, since it is smaller than the sum of its proper divisors (8750569968).

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

3441233040 is a wasteful number, since it uses less digits than its factorization.

3441233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048376 (or 2048370 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3441233040 is about 58662.0238314363. The cubic root of 3441233040 is about 1509.7488054879.

Adding to 3441233040 its reverse (403321443), we get a palindrome (3844554483).

The spelling of 3441233040 in words is "three billion, four hundred forty-one million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2048353 4096706 6145059 8193412 10241765 12290118 14338471 16386824 20483530 24580236 28676942 30725295 32773648 40967060 43015413 49160472 57353884 61450590 71692355 81934120 86030826 98320944 114707768 122901180 143384710 163868240 172061652 215077065 229415536 245802360 286769420 344123304 430154130 491604720 573538840 688246608 860308260 1147077680 1720616520 3441233040