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117044340 = 22357241971
BaseRepresentation
bin1101111100111…
…11010001110100
322011020110122120
412332133101310
5214430404330
615340355540
72620601100
oct676372164
9264213576
10117044340
1160083166
1233245bb0
131b33080a
141178a900
15a41ec10
hex6f9f474

117044340 has 144 divisors (see below), whose sum is σ = 390930624. Its totient is φ = 26073600.

The previous prime is 117044297. The next prime is 117044353. The reversal of 117044340 is 43440711.

117044340 = T69 + T70 + ... + T888.

It is a self number, because there is not a number n which added to its sum of digits gives 117044340.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 120055 + ... + 121025.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796).

Almost surely, 2117044340 is an apocalyptic number.

117044340 is a gapful number since it is divisible by the number (10) 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 117044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195465312).

117044340 is an abundant number, since it is smaller than the sum of its proper divisors (273886284).

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

117044340 is a wasteful number, since it uses less digits than its factorization.

117044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 117044340 is about 10818.7032494657. The cubic root of 117044340 is about 489.1591019626.

The spelling of 117044340 in words is "one hundred seventeen million, forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 49 60 70 82 84 98 105 123 140 147 164 196 205 210 245 246 287 294 410 420 490 492 574 588 615 735 820 861 971 980 1148 1230 1435 1470 1722 1942 2009 2460 2870 2913 2940 3444 3884 4018 4305 4855 5740 5826 6027 6797 8036 8610 9710 10045 11652 12054 13594 14565 17220 19420 20090 20391 24108 27188 29130 30135 33985 39811 40180 40782 47579 58260 60270 67970 79622 81564 95158 101955 119433 120540 135940 142737 159244 190316 199055 203910 237895 238866 278677 285474 398110 407820 475790 477732 557354 570948 597165 713685 796220 836031 951580 1114708 1194330 1393385 1427370 1672062 1950739 2388660 2786770 2854740 3344124 3901478 4180155 5573540 5852217 7802956 8360310 9753695 11704434 16720620 19507390 23408868 29261085 39014780 58522170 117044340