Base | Representation |
---|---|
bin | 1000010001011… |
… | …0111101010000 |
3 | 2102021210101120 |
4 | 2010112331100 |
5 | 32340301130 |
6 | 3235402240 |
7 | 600630360 |
oct | 204267520 |
9 | 72253346 |
10 | 34697040 |
11 | 18649444 |
12 | b753380 |
13 | 725abc1 |
14 | 48729a0 |
15 | 30a5910 |
hex | 2116f50 |
34697040 has 160 divisors (see below), whose sum is σ = 129515520. Its totient is φ = 7506432.
The previous prime is 34697027. The next prime is 34697057. The reversal of 34697040 is 4079643.
It is a junction number, because it is equal to n+sod(n) for n = 34696992 and 34697010.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31377 + ... + 32463.
It is an arithmetic number, because the mean of its divisors is an integer number (809472).
Almost surely, 234697040 is an apocalyptic number.
34697040 is a gapful number since it is divisible by the number (30) 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 34697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64757760).
34697040 is an abundant number, since it is smaller than the sum of its proper divisors (94818480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34697040 is a wasteful number, since it uses less digits than its factorization.
34697040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1129 (or 1123 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 33.
The square root of 34697040 is about 5890.4193399112. The cubic root of 34697040 is about 326.1600829699.
The spelling of 34697040 in words is "thirty-four million, six hundred ninety-seven thousand, forty".
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