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342228456 = 23331983389
BaseRepresentation
bin10100011001011…
…111110111101000
3212211222000012000
4110121133313220
51200102302311
653543051000
711323615413
oct2431376750
9784860160
10342228456
111661a7339
1296740a60
1355b94a5b
1433646b7a
15200a1056
hex1465fde8

342228456 has 64 divisors (see below), whose sum is σ = 1000680000. Its totient is φ = 108070848.

The previous prime is 342228451. The next prime is 342228457. The reversal of 342228456 is 654822243.

It is a super-2 number, since 2×3422284562 = 234240632192287872, which contains 22 as substring.

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 342228456.

It is not an unprimeable number, because it can be changed into a prime (342228451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37591 + ... + 45798.

It is an arithmetic number, because the mean of its divisors is an integer number (15635625).

Almost surely, 2342228456 is an apocalyptic number.

342228456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

342228456 is an abundant number, since it is smaller than the sum of its proper divisors (658451544).

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

342228456 is a wasteful number, since it uses less digits than its factorization.

342228456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83423 (or 83413 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 342228456 is about 18499.4177205662. The cubic root of 342228456 is about 699.4747461037.

It can be divided in two parts, 3422 and 28456, that added together give a triangular number (31878 = T252).

The spelling of 342228456 in words is "three hundred forty-two million, two hundred twenty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 83389 166778 250167 333556 500334 667112 750501 1000668 1501002 1584391 2001336 2251503 3002004 3168782 4503006 4753173 6004008 6337564 9006012 9506346 12675128 14259519 18012024 19012692 28519038 38025384 42778557 57038076 85557114 114076152 171114228 342228456