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34243344 = 2433312557
BaseRepresentation
bin1000001010100…
…0001100010000
32101102202001000
42002220030100
532231241334
63221542000
7564030552
oct202501420
971382030
1034243344
1118369593
12b574900
13712c545
1447954d2
153016299
hex20a8310

34243344 has 80 divisors (see below), whose sum is σ = 101501440. Its totient is φ = 11041920.

The previous prime is 34243333. The next prime is 34243357. The reversal of 34243344 is 44334243.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12114 + ... + 14670.

It is an arithmetic number, because the mean of its divisors is an integer number (1268768).

Almost surely, 234243344 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 34243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50750720).

34243344 is an abundant number, since it is smaller than the sum of its proper divisors (67258096).

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

34243344 is a wasteful number, since it uses less digits than its factorization.

34243344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2593 counting only the distinct ones).

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

The square root of 34243344 is about 5851.7812672724. The cubic root of 34243344 is about 324.7322259845.

Adding to 34243344 its reverse (44334243), we get a palindrome (78577587).

The spelling of 34243344 in words is "thirty-four million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 2557 3348 4464 5114 6696 7671 10228 13392 15342 20456 23013 30684 40912 46026 61368 69039 79267 92052 122736 138078 158534 184104 237801 276156 317068 368208 475602 552312 634136 713403 951204 1104624 1268272 1426806 1902408 2140209 2853612 3804816 4280418 5707224 8560836 11414448 17121672 34243344