| Base | Representation |
|---|---|
| bin | 1101001010100110… |
| … | …1000011000000000 |
| 3 | 100010022002100002100 |
| 4 | 3102221220120000 |
| 5 | 24214214104030 |
| 6 | 1342404350400 |
| 7 | 153402412020 |
| oct | 32251503000 |
| 9 | 10108070070 |
| 10 | 3534128640 |
| 11 | 1553a18179 |
| 12 | 8276a5400 |
| 13 | 4442588a3 |
| 14 | 257523a80 |
| 15 | 15a3ee360 |
| hex | d2a68600 |
3534128640 has 480 divisors, whose sum is σ = 14822533440. Its totient is φ = 759693312.
The previous prime is 3534128639. The next prime is 3534128659. The reversal of 3534128640 is 468214353.
3534128640 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 1 + 2 + 8 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3534128595 and 3534128604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741116 + ... + 2742404.
It is an arithmetic number, because the mean of its divisors is an integer number (30880278).
Almost surely, 23534128640 is an apocalyptic number.
3534128640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3534128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411266720).
3534128640 is an abundant number, since it is smaller than the sum of its proper divisors (11288404800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3534128640 is a wasteful number, since it uses less digits than its factorization.
3534128640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1342 (or 1323 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 3534128640 is about 59448.5377448428. The cubic root of 3534128640 is about 1523.2135152862.
The spelling of 3534128640 in words is "three billion, five hundred thirty-four million, one hundred twenty-eight thousand, six hundred forty".
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