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34223124 = 22313431509
BaseRepresentation
bin1000001010001…
…1010000010100
32101101201022010
42002203100110
532230114444
63221304220
7563614605
oct202432024
971351263
1034223124
1118355381
12b565070
137123290
14478bdac
1530102b9
hex20a3414

34223124 has 48 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 10485120.

The previous prime is 34223099. The next prime is 34223153. The reversal of 34223124 is 42132243.

34223124 is nontrivially palindromic in base 11.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34223124.

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, 66982 + ... + 67490.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 234223124 is an apocalyptic number.

It is an amenable number.

34223124 is an abundant number, since it is smaller than the sum of its proper divisors (52142316).

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

34223124 is a wasteful number, since it uses less digits than its factorization.

34223124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

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

The square root of 34223124 is about 5850.0533330902. The cubic root of 34223124 is about 324.6682974693.

Adding to 34223124 its reverse (42132243), we get a palindrome (76355367).

The spelling of 34223124 in words is "thirty-four million, two hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 431 509 862 1018 1293 1527 1724 2036 2586 3054 5172 5603 6108 6617 11206 13234 16809 19851 22412 26468 33618 39702 67236 79404 219379 438758 658137 877516 1316274 2632548 2851927 5703854 8555781 11407708 17111562 34223124