Base | Representation |
---|---|
bin | 11001100110000… |
… | …000110000111100 |
3 | 1002220222112012200 |
4 | 121212000300330 |
5 | 1334411120004 |
6 | 110335231500 |
7 | 13432540323 |
oct | 3146006074 |
9 | 1086875180 |
10 | 429395004 |
11 | 200422905 |
12 | bb978590 |
13 | 6ac640ac |
14 | 410570ba |
15 | 27a6d239 |
hex | 19980c3c |
429395004 has 72 divisors (see below), whose sum is σ = 1135959552. Its totient is φ = 136503840.
The previous prime is 429394991. The next prime is 429395023. The reversal of 429395004 is 400593924.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 429395004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415969 + ... + 416999.
It is an arithmetic number, because the mean of its divisors is an integer number (15777216).
Almost surely, 2429395004 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 429395004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567979776).
429395004 is an abundant number, since it is smaller than the sum of its proper divisors (706564548).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
429395004 is a wasteful number, since it uses less digits than its factorization.
429395004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1567 (or 1562 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 429395004 is about 20721.8484696708. The cubic root of 429395004 is about 754.4300796704.
The spelling of 429395004 in words is "four hundred twenty-nine million, three hundred ninety-five thousand, four".
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