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34245344 = 257172232
BaseRepresentation
bin1000001010100…
…0101011100000
32101102211210002
42002220223200
532231322334
63221555132
7564036440
oct202505340
971384702
1034245344
1118370041
12b575aa8
137130423
144796120
153016b7e
hex20a8ae0

34245344 has 108 divisors (see below), whose sum is σ = 85564584. Its totient is φ = 13212672.

The previous prime is 34245307. The next prime is 34245349. The reversal of 34245344 is 44354243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34245349) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1488917 + ... + 1488939.

Almost surely, 234245344 is an apocalyptic number.

34245344 is a gapful number since it is divisible by the number (34) 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 34245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42782292).

34245344 is an abundant number, since it is smaller than the sum of its proper divisors (51319240).

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

34245344 is a wasteful number, since it uses less digits than its factorization.

34245344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 49 counting only the distinct ones).

The product of its digits is 23040, while the sum is 29.

The square root of 34245344 is about 5851.9521529144. The cubic root of 34245344 is about 324.7385479120.

Adding to 34245344 its reverse (44354243), we get a palindrome (78599587).

The spelling of 34245344 in words is "thirty-four million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 68 92 112 119 136 161 184 224 238 272 289 322 368 391 476 529 544 578 644 736 782 952 1058 1156 1288 1564 1904 2023 2116 2312 2576 2737 3128 3703 3808 4046 4232 4624 5152 5474 6256 6647 7406 8092 8464 8993 9248 10948 12512 13294 14812 16184 16928 17986 21896 26588 29624 32368 35972 43792 46529 53176 59248 62951 64736 71944 87584 93058 106352 118496 125902 143888 152881 186116 212704 251804 287776 305762 372232 503608 611524 744464 1007216 1070167 1223048 1488928 2014432 2140334 2446096 4280668 4892192 8561336 17122672 34245344