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108342840 = 233529163191
BaseRepresentation
bin1100111010100…
…10111000111000
321112212101102210
412131102320320
5210213432330
614430055120
72453620224
oct635227070
9245771383
10108342840
115617a641
123034a4a0
13195a4cb8
1410563784
1597a18b0
hex6752e38

108342840 has 128 divisors (see below), whose sum is σ = 340070400. Its totient is φ = 27578880.

The previous prime is 108342833. The next prime is 108342841. The reversal of 108342840 is 48243801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 108342798 and 108342807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108342841) 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, 567145 + ... + 567335.

It is an arithmetic number, because the mean of its divisors is an integer number (2656800).

Almost surely, 2108342840 is an apocalyptic number.

108342840 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 108342840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170035200).

108342840 is an abundant number, since it is smaller than the sum of its proper divisors (231727560).

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

108342840 is a wasteful number, since it uses less digits than its factorization.

108342840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 108342840 is about 10408.7866728068. The cubic root of 108342840 is about 476.7236949607.

The spelling of 108342840 in words is "one hundred eight million, three hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 163 174 191 232 290 326 348 382 435 489 573 580 652 696 764 815 870 955 978 1146 1160 1304 1528 1630 1740 1910 1956 2292 2445 2865 3260 3480 3820 3912 4584 4727 4890 5539 5730 6520 7640 9454 9780 11078 11460 14181 16617 18908 19560 22156 22920 23635 27695 28362 31133 33234 37816 44312 47270 55390 56724 62266 66468 70905 83085 93399 94540 110780 113448 124532 132936 141810 155665 166170 186798 189080 221560 249064 283620 311330 332340 373596 466995 567240 622660 664680 747192 902857 933990 1245320 1805714 1867980 2708571 3611428 3735960 4514285 5417142 7222856 9028570 10834284 13542855 18057140 21668568 27085710 36114280 54171420 108342840