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342223024 = 241113373401
BaseRepresentation
bin10100011001011…
…110100010110000
3212211221201201211
4110121132202300
51200102114044
653543005504
711323563523
oct2431364260
9784851654
10342223024
111661a3250
1296739894
1355b92440
1433644bba
152009e634
hex1465e8b0

342223024 has 80 divisors (see below), whose sum is σ = 783012384. Its totient is φ = 142848000.

The previous prime is 342223019. The next prime is 342223061. The reversal of 342223024 is 420322243.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 342222986 and 342223004.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 853224 + ... + 853624.

Almost surely, 2342223024 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 342223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391506192).

342223024 is an abundant number, since it is smaller than the sum of its proper divisors (440789360).

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

342223024 is a wasteful number, since it uses less digits than its factorization.

342223024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 342223024 is about 18499.2709045519. The cubic root of 342223024 is about 699.4710452942.

Adding to 342223024 its reverse (420322243), we get a palindrome (762545267).

The spelling of 342223024 in words is "three hundred forty-two million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 373 401 572 746 802 1144 1492 1604 2288 2984 3208 4103 4411 4849 5213 5968 6416 8206 8822 9698 10426 16412 17644 19396 20852 32824 35288 38792 41704 53339 57343 65648 70576 77584 83408 106678 114686 149573 213356 229372 299146 426712 458744 598292 853424 917488 1196584 1645303 1944449 2393168 3290606 3888898 6581212 7777796 13162424 15555592 21388939 26324848 31111184 42777878 85555756 171111512 342223024