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34434342 = 23341103151
BaseRepresentation
bin1000001101011…
…0110100100110
32101210110001000
42003112310212
532303344332
63230014130
7565454445
oct203266446
971713030
1034434342
111848a038
12b647346
137198467
144804d5c
153052b7c
hex20d6d26

34434342 has 64 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 11016000.

The previous prime is 34434341. The next prime is 34434343. The reversal of 34434342 is 24343443.

It is an interprime number because it is at equal distance from previous prime (34434341) and next prime (34434343).

It is a super-3 number, since 3×344343423 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34434341) 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, 227967 + ... + 228117.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 234434342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34434342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).

34434342 is an abundant number, since it is smaller than the sum of its proper divisors (45237978).

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

34434342 is a wasteful number, since it uses less digits than its factorization.

34434342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 34434342 is about 5868.0782203376. The cubic root of 34434342 is about 325.3348564476.

Adding to 34434342 its reverse (24343443), we get a palindrome (58777785).

The spelling of 34434342 in words is "thirty-four million, four hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 103 123 151 206 246 302 309 369 453 618 738 906 927 1107 1359 1854 2214 2718 2781 4077 4223 5562 6191 8154 8446 12382 12669 15553 18573 25338 31106 37146 38007 46659 55719 76014 93318 111438 114021 139977 167157 228042 279954 334314 419931 637673 839862 1275346 1913019 3826038 5739057 11478114 17217171 34434342