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34343424 = 293229257
BaseRepresentation
bin1000001100000…
…0101000000000
32101121211022200
42003000220000
532242442144
63224033200
7564625413
oct203005000
971554280
1034343424
11184277a5
12b602800
137165c6b
1447bdb7a
153035c69
hex20c0a00

34343424 has 120 divisors (see below), whose sum is σ = 102934260. Its totient is φ = 11010048.

The previous prime is 34343423. The next prime is 34343429. The reversal of 34343424 is 42434343.

It can be written as a sum of positive squares in 2 ways, for example, as 30470400 + 3873024 = 5520^2 + 1968^2 .

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 (34343423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133504 + ... + 133760.

Almost surely, 234343424 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 34343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51467130).

34343424 is an abundant number, since it is smaller than the sum of its proper divisors (68590836).

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

34343424 is a wasteful number, since it uses less digits than its factorization.

34343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

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

The square root of 34343424 is about 5860.3262707805. The cubic root of 34343424 is about 325.0482736972.

Adding to 34343424 its reverse (42434343), we get a palindrome (76777767).

The spelling of 34343424 in words is "thirty-four million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 257 261 288 348 384 464 512 514 522 576 696 768 771 928 1028 1044 1152 1392 1536 1542 1856 2056 2088 2304 2313 2784 3084 3712 4112 4176 4608 4626 5568 6168 7424 7453 8224 8352 9252 11136 12336 14848 14906 16448 16704 18504 22272 22359 24672 29812 32896 33408 37008 44544 44718 49344 59624 65792 66816 67077 74016 89436 98688 119248 131584 133632 134154 148032 178872 197376 238496 268308 296064 357744 394752 476992 536616 592128 715488 953984 1073232 1184256 1430976 1907968 2146464 2861952 3815936 4292928 5723904 8585856 11447808 17171712 34343424