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3499744860 = 2233523281783
BaseRepresentation
bin1101000010011001…
…1101111001011100
3100000220101110102000
43100212131321130
524131413313420
61335135402300
7152504224533
oct32046357134
910026343360
103499744860
111536573127
12818083390
1343a0aa461
14252b3331a
151573ab690
hexd099de5c

3499744860 has 96 divisors (see below), whose sum is σ = 11361530880. Its totient is φ = 892685376.

The previous prime is 3499744819. The next prime is 3499744861. The reversal of 3499744860 is 684479943.

It is a happy number.

3499744860 is a `hidden beast` number, since 3 + 4 + 99 + 74 + 486 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3499744797 and 3499744806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3499744861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128472 + ... + 153311.

It is an arithmetic number, because the mean of its divisors is an integer number (118349280).

Almost surely, 23499744860 is an apocalyptic number.

3499744860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3499744860 is an abundant number, since it is smaller than the sum of its proper divisors (7861786020).

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

3499744860 is a wasteful number, since it uses less digits than its factorization.

3499744860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281824 (or 281816 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3499744860 is about 59158.6414651317. The cubic root of 3499744860 is about 1518.2575919313.

The spelling of 3499744860 in words is "three billion, four hundred ninety-nine million, seven hundred forty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 281783 563566 845349 1127132 1408915 1690698 2536047 2817830 3381396 4226745 5072094 5635660 6481009 7608141 8453490 10144188 12680235 12962018 15216282 16906980 19443027 25360470 25924036 30432564 32405045 38040705 38886054 50720940 58329081 64810090 76081410 77772108 97215135 116658162 129620180 152162820 174987243 194430270 233316324 291645405 349974486 388860540 583290810 699948972 874936215 1166581620 1749872430 3499744860