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1706341296 = 2431123711979
BaseRepresentation
bin110010110110100…
…1011001110110000
311101220210010012210
41211231023032300
511443310410141
6441152452120
760166442652
oct14555131660
94356703183
101706341296
117a6204520
123b754a040
13212689a0a
141228966d2
159ec07916
hex65b4b3b0

1706341296 has 160 divisors (see below), whose sum is σ = 5091102720. Its totient is φ = 487379200.

The previous prime is 1706341291. The next prime is 1706341297. The reversal of 1706341296 is 6921436071.

1706341296 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1706341291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861235 + ... + 863213.

It is an arithmetic number, because the mean of its divisors is an integer number (31819392).

Almost surely, 21706341296 is an apocalyptic number.

1706341296 is a gapful number since it is divisible by the number (16) 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 1706341296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545551360).

1706341296 is an abundant number, since it is smaller than the sum of its proper divisors (3384761424).

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

1706341296 is a wasteful number, since it uses less digits than its factorization.

1706341296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1706341296 is about 41307.8841869201. The cubic root of 1706341296 is about 1194.9653172943.

The spelling of 1706341296 in words is "one billion, seven hundred six million, three hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 71 88 92 132 138 142 176 184 213 253 264 276 284 368 426 506 528 552 568 759 781 852 1012 1104 1136 1518 1562 1633 1704 1979 2024 2343 3036 3124 3266 3408 3958 4048 4686 4899 5937 6072 6248 6532 7916 9372 9798 11874 12144 12496 13064 15832 17963 18744 19596 21769 23748 26128 31664 35926 37488 39192 43538 45517 47496 53889 65307 71852 78384 87076 91034 94992 107778 130614 136551 140509 143704 174152 182068 215556 261228 273102 281018 287408 348304 364136 421527 431112 500687 522456 546204 562036 728272 843054 862224 1001374 1044912 1092408 1124072 1502061 1545599 1686108 2002748 2184816 2248144 3004122 3091198 3231707 3372216 4005496 4636797 6008244 6182396 6463414 6744432 8010992 9273594 9695121 12016488 12364792 12926828 18547188 19390242 24032976 24729584 25853656 35548777 37094376 38780484 51707312 71097554 74188752 77560968 106646331 142195108 155121936 213292662 284390216 426585324 568780432 853170648 1706341296