Base | Representation |
---|---|
bin | 1000001101111… |
… | …1000001100100 |
3 | 2101212011010101 |
4 | 2003133001210 |
5 | 32310433230 |
6 | 3230433444 |
7 | 565654423 |
oct | 203370144 |
9 | 71764111 |
10 | 34467940 |
11 | 18502301 |
12 | b662884 |
13 | 71aa840 |
14 | 48132ba |
15 | 305caca |
hex | 20df064 |
34467940 has 48 divisors (see below), whose sum is σ = 79789248. Its totient is φ = 12426624.
The previous prime is 34467911. The next prime is 34467943. The reversal of 34467940 is 4976443.
It is a self number, because there is not a number n which added to its sum of digits gives 34467940.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34467943) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 9639 + ... + 12721.
It is an arithmetic number, because the mean of its divisors is an integer number (1662276).
Almost surely, 234467940 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 34467940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39894624).
34467940 is an abundant number, since it is smaller than the sum of its proper divisors (45321308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34467940 is a wasteful number, since it uses less digits than its factorization.
34467940 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3148 (or 3146 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 37.
The square root of 34467940 is about 5870.9402994750. The cubic root of 34467940 is about 325.4406330915.
Adding to 34467940 its product of nonzero digits (72576), we get a triangular number (34540516 = T8311).
The spelling of 34467940 in words is "thirty-four million, four hundred sixty-seven thousand, nine hundred forty".
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