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2117470344 = 23311232411447
BaseRepresentation
bin111111000110110…
…0000100010001000
312110120101122020120
41332031200202020
513314033022334
6550040423240
7103321125633
oct17615404210
95416348216
102117470344
119972908a0
124b1177b20
132798c6a42
14161316c1a
15c5d68949
hex7e360888

2117470344 has 128 divisors (see below), whose sum is σ = 6055188480. Its totient is φ = 610790400.

The previous prime is 2117470337. The next prime is 2117470393. The reversal of 2117470344 is 4430747112.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 1462629 + ... + 1464075.

It is an arithmetic number, because the mean of its divisors is an integer number (47306160).

Almost surely, 22117470344 is an apocalyptic number.

2117470344 is a gapful number since it is divisible by the number (24) 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 2117470344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027594240).

2117470344 is an abundant number, since it is smaller than the sum of its proper divisors (3937718136).

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

2117470344 is a wasteful number, since it uses less digits than its factorization.

2117470344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2117470344 is about 46015.9792246128. The cubic root of 2117470344 is about 1284.1204989735.

The spelling of 2117470344 in words is "two billion, one hundred seventeen million, four hundred seventy thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 241 253 264 276 482 506 552 723 759 964 1012 1446 1447 1518 1928 2024 2651 2892 2894 3036 4341 5302 5543 5784 5788 6072 7953 8682 10604 11086 11576 15906 15917 16629 17364 21208 22172 31812 31834 33258 33281 34728 44344 47751 60973 63624 63668 66516 66562 95502 99843 121946 127336 133032 133124 182919 191004 199686 243892 266248 348727 365838 366091 382008 399372 487784 697454 731676 732182 798744 1046181 1098273 1394908 1463352 1464364 2092362 2196546 2789816 2928728 3835997 4184724 4393092 7671994 8020721 8369448 8786184 11507991 15343988 16041442 23015982 24062163 30687976 32082884 46031964 48124326 64165768 88227931 92063928 96248652 176455862 192497304 264683793 352911724 529367586 705823448 1058735172 2117470344