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342163440 = 243655867
BaseRepresentation
bin10100011001001…
…111111111110000
3212211211201000000
4110121033333300
51200043212230
653541430000
711323225023
oct2431177760
9784751000
10342163440
11166162503
129670b300
1355b71298
143362b1ba
152008bb60
hex1464fff0

342163440 has 140 divisors (see below), whose sum is σ = 1192952664. Its totient is φ = 91228032.

The previous prime is 342163397. The next prime is 342163447. The reversal of 342163440 is 44361243.

342163440 is a `hidden beast` number, since 3 + 4 + 21 + 634 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342163447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 55387 + ... + 61253.

Almost surely, 2342163440 is an apocalyptic number.

342163440 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 342163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596476332).

342163440 is an abundant number, since it is smaller than the sum of its proper divisors (850789224).

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

342163440 is an equidigital number, since it uses as much as digits as its factorization.

342163440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 342163440 is about 18497.6603926010. The cubic root of 342163440 is about 699.4304482772.

The spelling of 342163440 in words is "three hundred forty-two million, one hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 5867 6480 7290 9720 11664 11734 14580 17601 19440 23468 29160 29335 35202 46936 52803 58320 58670 70404 88005 93872 105606 117340 140808 158409 176010 211212 234680 264015 281616 316818 352020 422424 469360 475227 528030 633636 704040 792045 844848 950454 1056060 1267272 1408080 1425681 1584090 1900908 2112120 2376135 2534544 2851362 3168180 3801816 4224240 4277043 4752270 5702724 6336360 7128405 7603632 8554086 9504540 11405448 12672720 14256810 17108172 19009080 21385215 22810896 28513620 34216344 38018160 42770430 57027240 68432688 85540860 114054480 171081720 342163440