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34952424 = 23313293863
BaseRepresentation
bin1000010101010…
…1010011101000
32102202202201020
42011111103220
532421434144
63245052440
7603043053
oct205252350
972682636
1034952424
1118803301
12b857120
13731a210
1448dba9a
153106419
hex21554e8

34952424 has 64 divisors (see below), whose sum is σ = 97372800. Its totient is φ = 10381056.

The previous prime is 34952371. The next prime is 34952429. The reversal of 34952424 is 42425943.

It is not an unprimeable number, because it can be changed into a prime (34952429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7117 + ... + 10979.

It is an arithmetic number, because the mean of its divisors is an integer number (1521450).

Almost surely, 234952424 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 34952424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48686400).

34952424 is an abundant number, since it is smaller than the sum of its proper divisors (62420376).

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

34952424 is a wasteful number, since it uses less digits than its factorization.

34952424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3910 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 34952424 is about 5912.0575098691. The cubic root of 34952424 is about 326.9583502397.

The spelling of 34952424 in words is "thirty-four million, nine hundred fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 3863 4524 7726 9048 11589 15452 23178 30904 46356 50219 92712 100438 112027 150657 200876 224054 301314 336081 401752 448108 602628 672162 896216 1205256 1344324 1456351 2688648 2912702 4369053 5825404 8738106 11650808 17476212 34952424