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108346240 = 2753143127
BaseRepresentation
bin1100111010100…
…11101110000000
321112212120002201
412131103232000
5210214034430
614430122544
72453633152
oct635235600
9245776081
10108346240
1156182152
1230350454
13195a6702
1410564ad2
1597a28ca
hex6753b80

108346240 has 128 divisors (see below), whose sum is σ = 275742720. Its totient is φ = 40642560.

The previous prime is 108346229. The next prime is 108346241. The reversal of 108346240 is 42643801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 108346199 and 108346208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108346241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 853057 + ... + 853183.

It is an arithmetic number, because the mean of its divisors is an integer number (2154240).

Almost surely, 2108346240 is an apocalyptic number.

108346240 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 108346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137871360).

108346240 is an abundant number, since it is smaller than the sum of its proper divisors (167396480).

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

108346240 is a wasteful number, since it uses less digits than its factorization.

108346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 108346240 is about 10408.9499950764. The cubic root of 108346240 is about 476.7286817342.

The spelling of 108346240 in words is "one hundred eight million, three hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 64 80 86 124 127 128 155 160 172 215 248 254 310 320 344 430 496 508 620 635 640 688 860 992 1016 1240 1270 1333 1376 1720 1984 2032 2480 2540 2666 2752 3440 3937 3968 4064 4960 5080 5332 5461 5504 6665 6880 7874 8128 9920 10160 10664 10922 13330 13760 15748 16256 19685 19840 20320 21328 21844 26660 27305 27520 31496 39370 40640 42656 43688 53320 54610 62992 78740 81280 85312 87376 106640 109220 125984 157480 169291 170624 174752 213280 218440 251968 314960 338582 349504 426560 436880 503936 629920 677164 699008 846455 853120 873760 1259840 1354328 1692910 1747520 2519680 2708656 3385820 3495040 5417312 6771640 10834624 13543280 21669248 27086560 54173120 108346240