Base | Representation |
---|---|
bin | 1101001101010000… |
… | …0000000000000000 |
3 | 100011001222121202220 |
4 | 3103110000000000 |
5 | 24230040013311 |
6 | 1343442411040 |
7 | 153566001300 |
oct | 32324000000 |
9 | 10131877686 |
10 | 3545235456 |
11 | 155a213964 |
12 | 82b360a80 |
13 | 446647179 |
14 | 258bb5600 |
15 | 15b395206 |
hex | d3500000 |
3545235456 has 252 divisors, whose sum is σ = 11475610272. Its totient is φ = 968884224.
The previous prime is 3545235439. The next prime is 3545235467. The reversal of 3545235456 is 6545325453.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (42).
Its product of digits (1080000) is a multiple of the sum of its prime factors (80).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154140661 + ... + 154140683.
It is an arithmetic number, because the mean of its divisors is an integer number (45538136).
Almost surely, 23545235456 is an apocalyptic number.
3545235456 is a droll number since its even prime factors and its odd prime factors have the same sum.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3545235456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737805136).
3545235456 is an abundant number, since it is smaller than the sum of its proper divisors (7930374816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3545235456 is an frugal number, since it uses more digits than its factorization.
3545235456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 80 (or 35 counting only the distinct ones).
The product of its digits is 1080000, while the sum is 42.
The square root of 3545235456 is about 59541.8798493968. The cubic root of 3545235456 is about 1524.8075300945.
It can be divided in two parts, 35452354 and 56, that added together give a triangular number (35452410 = T8420).
The spelling of 3545235456 in words is "three billion, five hundred forty-five million, two hundred thirty-five thousand, four hundred fifty-six".
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