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34424544 = 2537114657
BaseRepresentation
bin1000001101010…
…0011011100000
32101202221121010
42003110123200
532303041134
63225500520
7565414050
oct203243340
971687533
1034424544
1118482740
12b641740
137193b6b
144801560
15304ece9
hex20d46e0

34424544 has 96 divisors (see below), whose sum is σ = 112686336. Its totient is φ = 8939520.

The previous prime is 34424531. The next prime is 34424567. The reversal of 34424544 is 44542443.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5064 + ... + 9720.

It is an arithmetic number, because the mean of its divisors is an integer number (1173816).

Almost surely, 234424544 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 34424544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56343168).

34424544 is an abundant number, since it is smaller than the sum of its proper divisors (78261792).

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

34424544 is a wasteful number, since it uses less digits than its factorization.

34424544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4680 counting only the distinct ones).

The product of its digits is 30720, while the sum is 30.

The square root of 34424544 is about 5867.2433049943. The cubic root of 34424544 is about 325.3039964289.

Adding to 34424544 its reverse (44542443), we get a palindrome (78966987).

The spelling of 34424544 in words is "thirty-four million, four hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 4657 7392 9314 13971 18628 27942 32599 37256 51227 55884 65198 74512 97797 102454 111768 130396 149024 153681 195594 204908 223536 260792 307362 358589 391188 409816 447072 521584 614724 717178 782376 819632 1043168 1075767 1229448 1434356 1564752 1639264 2151534 2458896 2868712 3129504 4303068 4917792 5737424 8606136 11474848 17212272 34424544