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342543534928 = 24729321732783
BaseRepresentation
bin1001111110000010010…
…11111000101101010000
31012202011110002112012221
410333001023320231100
521103012121104203
6421210132430424
733514356002020
oct4770113705520
91182143075187
10342543534928
111222a9993821
1256479178414
13263bcb4410a
1412817453a80
158d9c620abd
hex4fc12f8b50

342543534928 has 80 divisors (see below), whose sum is σ = 784911905280. Its totient is φ = 141693769728.

The previous prime is 342543534913. The next prime is 342543534929. The reversal of 342543534928 is 829435345243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342543534929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10432425 + ... + 10465207.

It is an arithmetic number, because the mean of its divisors is an integer number (9811398816).

Almost surely, 2342543534928 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 342543534928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392455952640).

342543534928 is an abundant number, since it is smaller than the sum of its proper divisors (442368370352).

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

342543534928 is a wasteful number, since it uses less digits than its factorization.

342543534928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36044 (or 36038 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 52.

The spelling of 342543534928 in words is "three hundred forty-two billion, five hundred forty-three million, five hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3217 3248 6434 12868 22519 25736 32783 45038 51472 65566 90076 93293 131132 180152 186586 229481 262264 360304 373172 458962 524528 653051 746344 917924 950707 1306102 1492688 1835848 1901414 2612204 3671696 3802828 5224408 6654949 7605656 10448816 13309898 15211312 26619796 53239592 105462911 106479184 210925822 421851644 738240377 843703288 1476480754 1687406576 2952961508 3058424419 5905923016 6116848838 11811846032 12233697676 21408970933 24467395352 42817941866 48934790704 85635883732 171271767464 342543534928