| Base | Representation |
|---|---|
| bin | 111101101000011… |
| … | …100111100000000 |
| 3 | 2200001200101012000 |
| 4 | 331220130330000 |
| 5 | 4104201430324 |
| 6 | 250334304000 |
| 7 | 34423656300 |
| oct | 7550347400 |
| 9 | 2601611160 |
| 10 | 1034014464 |
| 11 | 49074640a |
| 12 | 24a358000 |
| 13 | 1362b94a2 |
| 14 | 9b483600 |
| 15 | 60b9e9c9 |
| hex | 3da1cf00 |
1034014464 has 432 divisors, whose sum is σ = 3690973440. Its totient is φ = 284497920.
The previous prime is 1034014441. The next prime is 1034014481. The reversal of 1034014464 is 4644104301.
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×10340144642 = 2138371823522414592, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14563549 + ... + 14563619.
It is an arithmetic number, because the mean of its divisors is an integer number (8543920).
Almost surely, 21034014464 is an apocalyptic number.
1034014464 is a gapful number since it is divisible by the number (14) 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 1034014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845486720).
1034014464 is an abundant number, since it is smaller than the sum of its proper divisors (2656958976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1034014464 is an equidigital number, since it uses as much as digits as its factorization.
1034014464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 153 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 1034014464 is about 32156.0952853421. The cubic root of 1034014464 is about 1011.2119764378.
Adding to 1034014464 its reverse (4644104301), we get a palindrome (5678118765).
The spelling of 1034014464 in words is "one billion, thirty-four million, fourteen thousand, four hundred sixty-four".
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