| Base | Representation |
|---|---|
| bin | 1101000000110111… |
| … | …1011011110100000 |
| 3 | 100000110021122202100 |
| 4 | 3100031323132200 |
| 5 | 24123241444131 |
| 6 | 1334345450400 |
| 7 | 152365444206 |
| oct | 32015733640 |
| 9 | 10013248670 |
| 10 | 3493312416 |
| 11 | 153297a360 |
| 12 | 815aa0a00 |
| 13 | 438967689 |
| 14 | 251d3b076 |
| 15 | 156a3a7e6 |
| hex | d037b7a0 |
3493312416 has 144 divisors (see below), whose sum is σ = 10916549280. Its totient is φ = 1050831360.
The previous prime is 3493312411. The next prime is 3493312423. The reversal of 3493312416 is 6142133943.
3493312416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (3493312411) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436386 + ... + 444318.
It is an arithmetic number, because the mean of its divisors is an integer number (75809370).
Almost surely, 23493312416 is an apocalyptic number.
3493312416 is a gapful number since it is divisible by the number (36) 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 3493312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458274640).
3493312416 is an abundant number, since it is smaller than the sum of its proper divisors (7423236864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3493312416 is a wasteful number, since it uses less digits than its factorization.
3493312416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8099 (or 8088 counting only the distinct ones).
The product of its digits is 46656, while the sum is 36.
The square root of 3493312416 is about 59104.2504055334. The cubic root of 3493312416 is about 1517.3268482407.
The spelling of 3493312416 in words is "three billion, four hundred ninety-three million, three hundred twelve thousand, four hundred sixteen".
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