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188381340 = 223257307487
BaseRepresentation
bin10110011101001…
…11100010011100
3111010110202121200
423032213202130
5341211200330
630405355500
74445133510
oct1316474234
9433422550
10188381340
1197377764
1253108b90
1330049a64
141b03a140
1511811a60
hexb3a789c

188381340 has 144 divisors (see below), whose sum is σ = 656527872. Its totient is φ = 42830208.

The previous prime is 188381269. The next prime is 188381353. The reversal of 188381340 is 43183881.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 188381295 and 188381304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386577 + ... + 387063.

Almost surely, 2188381340 is an apocalyptic number.

188381340 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 188381340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328263936).

188381340 is an abundant number, since it is smaller than the sum of its proper divisors (468146532).

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

188381340 is a wasteful number, since it uses less digits than its factorization.

188381340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 188381340 is about 13725.2081951423. The cubic root of 188381340 is about 573.2525042292.

The spelling of 188381340 in words is "one hundred eighty-eight million, three hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 307 315 420 487 614 630 921 974 1228 1260 1461 1535 1842 1948 2149 2435 2763 2922 3070 3409 3684 4298 4383 4605 4870 5526 5844 6140 6447 6818 7305 8596 8766 9210 9740 10227 10745 11052 12894 13636 13815 14610 17045 17532 18420 19341 20454 21490 21915 25788 27630 29220 30681 32235 34090 38682 40908 42980 43830 51135 55260 61362 64470 68180 77364 87660 96705 102270 122724 128940 149509 153405 193410 204540 299018 306810 386820 448527 598036 613620 747545 897054 1046563 1345581 1495090 1794108 2093126 2242635 2691162 2990180 3139689 4186252 4485270 5232815 5382324 6279378 6727905 8970540 9419067 10465630 12558756 13455810 15698445 18838134 20931260 26911620 31396890 37676268 47095335 62793780 94190670 188381340