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34144420 = 22523199373
BaseRepresentation
bin1000001001000…
…0000010100100
32101020201100011
42002100002210
532220110140
63215500004
7563136262
oct202200244
971221304
1034144420
1118301232
12b527604
1370c64cb
14476b432
152ee6cea
hex20900a4

34144420 has 48 divisors (see below), whose sum is σ = 75398400. Its totient is φ = 12963456.

The previous prime is 34144417. The next prime is 34144441. The reversal of 34144420 is 2444143.

It is a junction number, because it is equal to n+sod(n) for n = 34144391 and 34144400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91354 + ... + 91726.

It is an arithmetic number, because the mean of its divisors is an integer number (1570800).

Almost surely, 234144420 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 34144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699200).

34144420 is an abundant number, since it is smaller than the sum of its proper divisors (41253980).

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

34144420 is a wasteful number, since it uses less digits than its factorization.

34144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 34144420 is about 5843.3226849114. The cubic root of 34144420 is about 324.4192231216.

Adding to 34144420 its reverse (2444143), we get a palindrome (36588563).

The spelling of 34144420 in words is "thirty-four million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 199 230 373 398 460 746 796 995 1492 1865 1990 3730 3980 4577 7460 8579 9154 17158 18308 22885 34316 42895 45770 74227 85790 91540 148454 171580 296908 371135 742270 1484540 1707221 3414442 6828884 8536105 17072210 34144420