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34424130 = 23513611447
BaseRepresentation
bin1000001101010…
…0010101000010
32101202221000210
42003110111002
532303033010
63225454550
7565412616
oct203242502
971687023
1034424130
11184823a4
12b641456
137193910
144801346
15304eb20
hex20d4542

34424130 has 64 divisors (see below), whose sum is σ = 90494208. Its totient is φ = 8328960.

The previous prime is 34424129. The next prime is 34424141. The reversal of 34424130 is 3142443.

It is a junction number, because it is equal to n+sod(n) for n = 34424097 and 34424106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23067 + ... + 24513.

It is an arithmetic number, because the mean of its divisors is an integer number (1413972).

Almost surely, 234424130 is an apocalyptic number.

34424130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34424130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45247104).

34424130 is an abundant number, since it is smaller than the sum of its proper divisors (56070078).

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

34424130 is a wasteful number, since it uses less digits than its factorization.

34424130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34424130 is about 5867.2080242650. The cubic root of 34424130 is about 325.3026923556.

Adding to 34424130 its reverse (3142443), we get a palindrome (37566573).

The spelling of 34424130 in words is "thirty-four million, four hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 305 366 390 610 793 915 1447 1586 1830 2379 2894 3965 4341 4758 7235 7930 8682 11895 14470 18811 21705 23790 37622 43410 56433 88267 94055 112866 176534 188110 264801 282165 441335 529602 564330 882670 1147471 1324005 2294942 2648010 3442413 5737355 6884826 11474710 17212065 34424130