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342147456 = 2733714143
BaseRepresentation
bin10100011001001…
…100000110000000
3212211210220002000
4110121030012000
51200042204311
653541224000
711323130310
oct2431140600
9784726060
10342147456
111661514a2
1296702000
1355b66c21
1433625440
1520087056
hex1464c180

342147456 has 128 divisors (see below), whose sum is σ = 1154150400. Its totient is φ = 97749504.

The previous prime is 342147437. The next prime is 342147461. The reversal of 342147456 is 654741243.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 342147456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17121 + ... + 31263.

It is an arithmetic number, because the mean of its divisors is an integer number (9016800).

Almost surely, 2342147456 is an apocalyptic number.

342147456 is a gapful number since it is divisible by the number (36) 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 342147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577075200).

342147456 is an abundant number, since it is smaller than the sum of its proper divisors (812002944).

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

342147456 is a wasteful number, since it uses less digits than its factorization.

342147456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14173 (or 14155 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 342147456 is about 18497.2283329152. The cubic root of 342147456 is about 699.4195569223.

Adding to 342147456 its reverse (654741243), we get a palindrome (996888699).

The spelling of 342147456 in words is "three hundred forty-two million, one hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 14143 24192 28286 42429 56572 84858 99001 113144 127287 169716 198002 226288 254574 297003 339432 381861 396004 452576 509148 594006 678864 763722 792008 891009 905152 1018296 1188012 1357728 1527444 1584016 1782018 1810304 2036592 2376024 2673027 2715456 3054888 3168032 3564036 4073184 4752048 5346054 5430912 6109776 6336064 7128072 8146368 9504096 10692108 12219552 12672128 14256144 16292736 19008192 21384216 24439104 28512288 38016384 42768432 48878208 57024576 85536864 114049152 171073728 342147456