| Base | Representation |
|---|---|
| bin | 11001101000000… |
| … | …110011101110000 |
| 3 | 1002222000100102111 |
| 4 | 121220012131300 |
| 5 | 1340031131030 |
| 6 | 110355055104 |
| 7 | 13440311041 |
| oct | 3150063560 |
| 9 | 1088010374 |
| 10 | 429942640 |
| 11 | 2007672a6 |
| 12 | bbba1494 |
| 13 | 6b0c643a |
| 14 | 4115a8c8 |
| 15 | 27b2a62a |
| hex | 19a06770 |
429942640 has 80 divisors (see below), whose sum is σ = 1069708320. Its totient is φ = 160220160.
The previous prime is 429942637. The next prime is 429942649. The reversal of 429942640 is 46249924.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 429942593 and 429942602.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (429942649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90402 + ... + 95038.
It is an arithmetic number, because the mean of its divisors is an integer number (13371354).
Almost surely, 2429942640 is an apocalyptic number.
429942640 is a gapful number since it is divisible by the number (40) 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 429942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534854160).
429942640 is an abundant number, since it is smaller than the sum of its proper divisors (639765680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
429942640 is a wasteful number, since it uses less digits than its factorization.
429942640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4730 (or 4724 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 40.
The square root of 429942640 is about 20735.0582347868. The cubic root of 429942640 is about 754.7506683677.
429942640 divided by its sum of digits (40) gives a triangular number (10748566 = T4636).
The spelling of 429942640 in words is "four hundred twenty-nine million, nine hundred forty-two thousand, six hundred forty".
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