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188640342 = 232112321801
BaseRepresentation
bin10110011111001…
…10110001010110
3111010221220220100
423033212301112
5341242442332
630415114530
74450262562
oct1317466126
9433856810
10188640342
1197534310
1253212a46
133010a907
141b0a66a2
151186367c
hexb3e6c56

188640342 has 72 divisors (see below), whose sum is σ = 466364808. Its totient is φ = 54648000.

The previous prime is 188640317. The next prime is 188640343. The reversal of 188640342 is 243046881.

188640342 is a `hidden beast` number, since 1 + 8 + 8 + 640 + 3 + 4 + 2 = 666.

188640342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 188640297 and 188640306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188640343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103842 + ... + 105642.

It is an arithmetic number, because the mean of its divisors is an integer number (6477289).

Almost surely, 2188640342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188640342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233182404).

188640342 is an abundant number, since it is smaller than the sum of its proper divisors (277724466).

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

188640342 is a wasteful number, since it uses less digits than its factorization.

188640342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 188640342 is about 13734.6402209887. The cubic root of 188640342 is about 573.5151019871.

The spelling of 188640342 in words is "one hundred eighty-eight million, six hundred forty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 529 759 1058 1518 1587 1801 2277 3174 3602 4554 4761 5403 5819 9522 10806 11638 16209 17457 19811 32418 34914 39622 41423 52371 59433 82846 104742 118866 124269 178299 248538 356598 372807 455653 745614 911306 952729 1366959 1905458 2733918 2858187 4100877 5716374 8201754 8574561 10480019 17149122 20960038 31440057 62880114 94320171 188640342