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342276120 = 233255317939
BaseRepresentation
bin10100011001101…
…011100000011000
3212212001102120100
4110121223200120
51200110313440
653544055400
711324204364
oct2431534030
9785042510
10342276120
1116622a12a
1296764560
1355bb0664
143365a2a4
15200b0230
hex1466b818

342276120 has 96 divisors (see below), whose sum is σ = 1133449200. Its totient is φ = 89546496.

The previous prime is 342276097. The next prime is 342276139. The reversal of 342276120 is 21672243.

342276120 is a `hidden beast` number, since 3 + 42 + 2 + 7 + 612 + 0 = 666.

342276120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10111 + ... + 28049.

Almost surely, 2342276120 is an apocalyptic number.

342276120 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 342276120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566724600).

342276120 is an abundant number, since it is smaller than the sum of its proper divisors (791173080).

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

342276120 is a wasteful number, since it uses less digits than its factorization.

342276120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18009 (or 18002 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 342276120 is about 18500.7059324773. The cubic root of 342276120 is about 699.5072178011.

The spelling of 342276120 in words is "three hundred forty-two million, two hundred seventy-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 17939 19080 35878 53817 71756 89695 107634 143512 161451 179390 215268 269085 322902 358780 430536 538170 645804 717560 807255 950767 1076340 1291608 1614510 1901534 2152680 2852301 3229020 3803068 4753835 5704602 6458040 7606136 8556903 9507670 11409204 14261505 17113806 19015340 22818408 28523010 34227612 38030680 42784515 57046020 68455224 85569030 114092040 171138060 342276120