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342261144 = 233247101141
BaseRepresentation
bin10100011001100…
…111110110011000
3212212000200000200
4110121213312120
51200104324034
653543502200
711324112621
oct2431476630
9785020020
10342261144
11166219955
1296757960
1355ba68b4
1433654a48
15200aaa99
hex14667d98

342261144 has 48 divisors (see below), whose sum is σ = 946689120. Its totient is φ = 111658560.

The previous prime is 342261133. The next prime is 342261149. The reversal of 342261144 is 441162243.

It is a happy number.

342261144 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 611 + 44 = 666.

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 (342261149) 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, 47187 + ... + 53954.

It is an arithmetic number, because the mean of its divisors is an integer number (19722690).

Almost surely, 2342261144 is an apocalyptic number.

It is an amenable number.

342261144 is an abundant number, since it is smaller than the sum of its proper divisors (604427976).

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

342261144 is a wasteful number, since it uses less digits than its factorization.

342261144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101200 (or 101193 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 342261144 is about 18500.3011867375. The cubic root of 342261144 is about 699.4970155382.

The spelling of 342261144 in words is "three hundred forty-two million, two hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 101141 202282 303423 404564 606846 809128 910269 1213692 1820538 2427384 3641076 4753627 7282152 9507254 14260881 19014508 28521762 38029016 42782643 57043524 85565286 114087048 171130572 342261144