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34136424 = 23337107211
BaseRepresentation
bin1000001000111…
…0000101101000
32101020022101000
42002032011220
532214331144
63215355000
7563104050
oct202160550
971208330
1034136424
11182a6223
12b522a60
1370c298a
144768560
152ee4769
hex208e168

34136424 has 128 divisors (see below), whose sum is σ = 109900800. Its totient is φ = 9616320.

The previous prime is 34136423. The next prime is 34136437. The reversal of 34136424 is 42463143.

34136424 is a `hidden beast` number, since 3 + 4 + 13 + 642 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34136423) 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, 161679 + ... + 161889.

It is an arithmetic number, because the mean of its divisors is an integer number (858600).

Almost surely, 234136424 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 34136424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54950400).

34136424 is an abundant number, since it is smaller than the sum of its proper divisors (75764376).

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

34136424 is a wasteful number, since it uses less digits than its factorization.

34136424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 34136424 is about 5842.6384450863. The cubic root of 34136424 is about 324.3938967908.

Adding to 34136424 its reverse (42463143), we get a palindrome (76599567).

The spelling of 34136424 in words is "thirty-four million, one hundred thirty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 107 108 126 168 189 211 214 216 252 321 378 422 428 504 633 642 749 756 844 856 963 1266 1284 1477 1498 1512 1688 1899 1926 2247 2532 2568 2889 2954 2996 3798 3852 4431 4494 5064 5697 5778 5908 5992 6741 7596 7704 8862 8988 11394 11556 11816 13293 13482 15192 17724 17976 20223 22577 22788 23112 26586 26964 35448 39879 40446 45154 45576 53172 53928 67731 79758 80892 90308 106344 135462 158039 159516 161784 180616 203193 270924 316078 319032 406386 474117 541848 609579 632156 812772 948234 1219158 1264312 1422351 1625544 1896468 2438316 2844702 3792936 4267053 4876632 5689404 8534106 11378808 17068212 34136424