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350158140 = 22355109661
BaseRepresentation
bin10100110111101…
…111110100111100
3220101212212200000
4110313233310330
51204120030030
654425034300
711451203133
oct2467576474
9811785600
10350158140
1116a722aa2
1299325990
1357710187
143470c91a
1520b1a860
hex14defd3c

350158140 has 144 divisors (see below), whose sum is σ = 1113272160. Its totient is φ = 92378880.

The previous prime is 350158063. The next prime is 350158157. The reversal of 350158140 is 41851053.

It is a super-2 number, since 2×3501581402 = 245221446016519200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529410 + ... + 530070.

Almost surely, 2350158140 is an apocalyptic number.

350158140 is a gapful number since it is divisible by the number (30) 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 350158140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556636080).

350158140 is an abundant number, since it is smaller than the sum of its proper divisors (763114020).

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

350158140 is a wasteful number, since it uses less digits than its factorization.

350158140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 350158140 is about 18712.5129258472. The cubic root of 350158140 is about 704.8359962556.

The spelling of 350158140 in words is "three hundred fifty million, one hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 109 135 162 180 218 243 270 324 327 405 436 486 540 545 654 661 810 972 981 1090 1215 1308 1322 1620 1635 1962 1983 2180 2430 2644 2943 3270 3305 3924 3966 4860 4905 5886 5949 6540 6610 7932 8829 9810 9915 11772 11898 13220 14715 17658 17847 19620 19830 23796 26487 29430 29745 35316 35694 39660 44145 52974 53541 58860 59490 71388 72049 88290 89235 105948 107082 118980 132435 144098 160623 176580 178470 214164 216147 264870 267705 288196 321246 356940 360245 432294 529740 535410 642492 648441 720490 803115 864588 1070820 1080735 1296882 1440980 1606230 1945323 2161470 2593764 3212460 3242205 3890646 4322940 5835969 6484410 7781292 9726615 11671938 12968820 17507907 19453230 23343876 29179845 35015814 38906460 58359690 70031628 87539535 116719380 175079070 350158140