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34483240 = 23511109719
BaseRepresentation
bin1000001110001…
…0110000101000
32101212221010001
42003202300220
532311430430
63231032344
7566050141
oct203426050
971787101
1034483240
1118512850
12b66b6b4
1371b47ac
144818ac8
1530623ca
hex20e2c28

34483240 has 64 divisors (see below), whose sum is σ = 85536000. Its totient is φ = 12407040.

The previous prime is 34483217. The next prime is 34483243. The reversal of 34483240 is 4238443.

It is a junction number, because it is equal to n+sod(n) for n = 34483199 and 34483208.

It is not an unprimeable number, because it can be changed into a prime (34483243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47601 + ... + 48319.

It is an arithmetic number, because the mean of its divisors is an integer number (1336500).

Almost surely, 234483240 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 34483240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42768000).

34483240 is an abundant number, since it is smaller than the sum of its proper divisors (51052760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34483240 is a wasteful number, since it uses less digits than its factorization.

34483240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 34483240 is about 5872.2431829753. The cubic root of 34483240 is about 325.4887793314.

The spelling of 34483240 in words is "thirty-four million, four hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 719 872 1090 1199 1438 2180 2398 2876 3595 4360 4796 5752 5995 7190 7909 9592 11990 14380 15818 23980 28760 31636 39545 47960 63272 78371 79090 156742 158180 313484 316360 391855 626968 783710 862081 1567420 1724162 3134840 3448324 4310405 6896648 8620810 17241620 34483240