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342113112 = 2333111371051
BaseRepresentation
bin10100011001000…
…011101101011000
3212211202010222000
4110121003231120
51200040104422
653540401000
711322625215
oct2431035530
9784663860
10342113112
11166128710
12966a6160
1355b543c3
1433616b0c
152007bcac
hex14643b58

342113112 has 128 divisors (see below), whose sum is σ = 1045267200. Its totient is φ = 102816000.

The previous prime is 342113111. The next prime is 342113147. The reversal of 342113112 is 211311243.

342113112 is a `hidden beast` number, since 342 + 11 + 311 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342113111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324987 + ... + 326037.

It is an arithmetic number, because the mean of its divisors is an integer number (8166150).

Almost surely, 2342113112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522633600).

342113112 is an abundant number, since it is smaller than the sum of its proper divisors (703154088).

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

342113112 is a wasteful number, since it uses less digits than its factorization.

342113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1204 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 342113112 is about 18496.2999543152. The cubic root of 342113112 is about 699.3961540799.

Adding to 342113112 its reverse (211311243), we get a palindrome (553424355).

It can be divided in two parts, 342113 and 112, that added together give a square (342225 = 5852).

The spelling of 342113112 in words is "three hundred forty-two million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 137 198 216 264 274 297 396 411 548 594 792 822 1051 1096 1188 1233 1507 1644 2102 2376 2466 3014 3153 3288 3699 4204 4521 4932 6028 6306 7398 8408 9042 9459 9864 11561 12056 12612 13563 14796 18084 18918 23122 25224 27126 28377 29592 34683 36168 37836 40689 46244 54252 56754 69366 75672 81378 92488 104049 108504 113508 138732 143987 162756 208098 227016 277464 287974 312147 325512 416196 431961 575948 624294 832392 863922 1151896 1248588 1295883 1583857 1727844 2497176 2591766 3167714 3455688 3887649 4751571 5183532 6335428 7775298 9503142 10367064 12670856 14254713 15550596 19006284 28509426 31101192 38012568 42764139 57018852 85528278 114037704 171056556 342113112