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342141120 = 26325118799
BaseRepresentation
bin10100011001001…
…010100011000000
3212211210120101100
4110121022203000
51200042003440
653541134400
711323102656
oct2431124300
9784716340
10342141120
11166147762
12966ba400
1355b64089
1433622dd6
1520085230
hex1464a8c0

342141120 has 84 divisors (see below), whose sum is σ = 1176832800. Its totient is φ = 91236864.

The previous prime is 342141097. The next prime is 342141127. The reversal of 342141120 is 21141243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 342141093 and 342141102.

It is not an unprimeable number, because it can be changed into a prime (342141127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56520 + ... + 62279.

Almost surely, 2342141120 is an apocalyptic number.

342141120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342141120 is an abundant number, since it is smaller than the sum of its proper divisors (834691680).

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

342141120 is a wasteful number, since it uses less digits than its factorization.

342141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118822 (or 118809 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 342141120 is about 18497.0570632195. The cubic root of 342141120 is about 699.4152395346.

Adding to 342141120 its reverse (21141243), we get a palindrome (363282363).

The spelling of 342141120 in words is "three hundred forty-two million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 118799 237598 356397 475196 593995 712794 950392 1069191 1187990 1425588 1781985 1900784 2138382 2375980 2851176 3563970 3801568 4276764 4751960 5345955 5702352 7127940 7603136 8553528 9503920 10691910 11404704 14255880 17107056 19007840 21383820 22809408 28511760 34214112 38015680 42767640 57023520 68428224 85535280 114047040 171070560 342141120