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34220424 = 233734157
BaseRepresentation
bin1000001010001…
…0100110001000
32101101120121010
42002202212020
532230023144
63221243520
7563604000
oct202424610
971346533
1034220424
1118353347
12b5635a0
137121c94
14478b000
15300e5b9
hex20a2988

34220424 has 64 divisors (see below), whose sum is σ = 99792000. Its totient is φ = 9774912.

The previous prime is 34220401. The next prime is 34220443. The reversal of 34220424 is 42402243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 34220424.

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, 6154 + ... + 10310.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 234220424 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 34220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896000).

34220424 is an abundant number, since it is smaller than the sum of its proper divisors (65571576).

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

34220424 is a wasteful number, since it uses less digits than its factorization.

34220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 34220424 is about 5849.8225614116. The cubic root of 34220424 is about 324.6597591152.

Adding to 34220424 its reverse (42402243), we get a palindrome (76622667).

The spelling of 34220424 in words is "thirty-four million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 4157 8232 8314 12471 16628 24942 29099 33256 49884 58198 87297 99768 116396 174594 203693 232792 349188 407386 611079 698376 814772 1222158 1425851 1629544 2444316 2851702 4277553 4888632 5703404 8555106 11406808 17110212 34220424