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34629114 = 231333771
BaseRepresentation
bin1000010000011…
…0010111111010
32102011100012210
42010012113322
532331112424
63234115550
7600225342
oct204062772
972140183
1034629114
1118602403
12b71bbb6
137236000
144855d22
153090729
hex21065fa

34629114 has 64 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 10221120.

The previous prime is 34629113. The next prime is 34629121. The reversal of 34629114 is 41192643.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34629113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487699 + ... + 487769.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 234629114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34629114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070080).

34629114 is an abundant number, since it is smaller than the sum of its proper divisors (43511046).

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

34629114 is a wasteful number, since it uses less digits than its factorization.

34629114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 34629114 is about 5884.6507118095. The cubic root of 34629114 is about 325.9471039674.

It can be divided in two parts, 34629 and 114, that added together give a palindrome (34743).

The spelling of 34629114 in words is "thirty-four million, six hundred twenty-nine thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 37 39 71 74 78 111 142 169 213 222 338 426 481 507 923 962 1014 1443 1846 2197 2627 2769 2886 4394 5254 5538 6253 6591 7881 11999 12506 13182 15762 18759 23998 34151 35997 37518 68302 71994 81289 102453 155987 162578 204906 243867 311974 443963 467961 487734 887926 935922 1331889 2663778 5771519 11543038 17314557 34629114