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34343340 = 22351274507
BaseRepresentation
bin1000001100000…
…0100110101100
32101121211012120
42003000212230
532242441330
63224032540
7564625233
oct203004654
971554176
1034343340
1118427729
12b602750
137165c05
1447bdb1a
153035c10
hex20c09ac

34343340 has 48 divisors (see below), whose sum is σ = 96940032. Its totient is φ = 9084096.

The previous prime is 34343327. The next prime is 34343341. The reversal of 34343340 is 4334343.

It is a self number, because there is not a number n which added to its sum of digits gives 34343340.

It is not an unprimeable number, because it can be changed into a prime (34343341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5367 + ... + 9873.

It is an arithmetic number, because the mean of its divisors is an integer number (2019584).

Almost surely, 234343340 is an apocalyptic number.

34343340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470016).

34343340 is an abundant number, since it is smaller than the sum of its proper divisors (62596692).

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

34343340 is a wasteful number, since it uses less digits than its factorization.

34343340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 34343340 is about 5860.3191039396. The cubic root of 34343340 is about 325.0480086869.

Adding to 34343340 its reverse (4334343), we get a palindrome (38677683).

The spelling of 34343340 in words is "thirty-four million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 4507 7620 9014 13521 18028 22535 27042 45070 54084 67605 90140 135210 270420 572389 1144778 1717167 2289556 2861945 3434334 5723890 6868668 8585835 11447780 17171670 34343340