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34630144 = 29239283
BaseRepresentation
bin1000010000011…
…0101000000000
32102011101121221
42010012220000
532331131034
63234124424
7600231343
oct204065000
972141557
1034630144
111860315a
12b720714
137236613
14485645a
153090bb4
hex2106a00

34630144 has 40 divisors (see below), whose sum is σ = 69727680. Its totient is φ = 17181696.

The previous prime is 34630129. The next prime is 34630151. The reversal of 34630144 is 44103643.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122227 + ... + 122509.

It is an arithmetic number, because the mean of its divisors is an integer number (1743192).

Almost surely, 234630144 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 34630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34863840).

34630144 is an abundant number, since it is smaller than the sum of its proper divisors (35097536).

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

34630144 is an equidigital number, since it uses as much as digits as its factorization.

34630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 34630144 is about 5884.7382269732. The cubic root of 34630144 is about 325.9503355660.

Adding to 34630144 its reverse (44103643), we get a palindrome (78733787).

The spelling of 34630144 in words is "thirty-four million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 239 256 283 478 512 566 956 1132 1912 2264 3824 4528 7648 9056 15296 18112 30592 36224 61184 67637 72448 122368 135274 144896 270548 541096 1082192 2164384 4328768 8657536 17315072 34630144