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34418412 = 2233753859
BaseRepresentation
bin1000001101001…
…0111011101100
32101202122012000
42003102323230
532302342122
63225412300
7565360140
oct203227354
971678160
1034418412
1118479076
12b63a090
137191132
1447dd220
15304d0ac
hex20d2eec

34418412 has 96 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 9637056.

The previous prime is 34418381. The next prime is 34418437. The reversal of 34418412 is 21481443.

34418412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39639 + ... + 40497.

It is an arithmetic number, because the mean of its divisors is an integer number (1083600).

Almost surely, 234418412 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 34418412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

34418412 is an abundant number, since it is smaller than the sum of its proper divisors (69607188).

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

34418412 is a wasteful number, since it uses less digits than its factorization.

34418412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34418412 is about 5866.7207194480. The cubic root of 34418412 is about 325.2846799537.

Adding to 34418412 its reverse (21481443), we get a palindrome (55899855).

The spelling of 34418412 in words is "thirty-four million, four hundred eighteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 859 954 1113 1431 1484 1718 1908 2226 2577 2862 3339 3436 4452 5154 5724 6013 6678 7731 10017 10308 12026 13356 15462 18039 20034 23193 24052 30924 36078 40068 45527 46386 54117 72156 91054 92772 108234 136581 162351 182108 216468 273162 318689 324702 409743 546324 637378 649404 819486 956067 1229229 1274756 1638972 1912134 2458458 2868201 3824268 4916916 5736402 8604603 11472804 17209206 34418412