Search a number
-
+
34347096 = 23327232963
BaseRepresentation
bin1000001100000…
…1100001011000
32101122000100200
42003001201120
532243101341
63224102200
7564642210
oct203014130
971560320
1034347096
111842a533
12b604960
137167834
1447c1240
153036db6
hex20c1858

34347096 has 96 divisors (see below), whose sum is σ = 110972160. Its totient is φ = 9383616.

The previous prime is 34347077. The next prime is 34347097. The reversal of 34347096 is 69074343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34347096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34347097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10111 + ... + 13073.

It is an arithmetic number, because the mean of its divisors is an integer number (1155960).

Almost surely, 234347096 is an apocalyptic number.

34347096 is a gapful number since it is divisible by the number (36) 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 34347096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55486080).

34347096 is an abundant number, since it is smaller than the sum of its proper divisors (76625064).

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

34347096 is a wasteful number, since it uses less digits than its factorization.

34347096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 34347096 is about 5860.6395555434. The cubic root of 34347096 is about 325.0598580083.

The spelling of 34347096 in words is "thirty-four million, three hundred forty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 2963 3864 5796 5926 8889 11592 11852 17778 20741 23704 26667 35556 41482 53334 62223 68149 71112 82964 106668 124446 136298 165928 186669 204447 213336 248892 272596 373338 408894 477043 497784 545192 613341 746676 817788 954086 1226682 1431129 1493352 1635576 1908172 2453364 2862258 3816344 4293387 4906728 5724516 8586774 11449032 17173548 34347096