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434320124 = 227229431777
BaseRepresentation
bin11001111000110…
…011001011111100
31010021020202012112
4121320303023330
51342141220444
6111032553152
713522442300
oct3170631374
91107222175
10434320124
11203187157
121015527b8
136bc99a74
1441979d00
15281e269e
hex19e332fc

434320124 has 72 divisors (see below), whose sum is σ = 936437040. Its totient is φ = 175440384.

The previous prime is 434320123. The next prime is 434320129. The reversal of 434320124 is 421023434.

It is a super-2 number, since 2×4343201242 = 377267940222750752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434320124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434320123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243524 + ... + 245300.

It is an arithmetic number, because the mean of its divisors is an integer number (13006070).

Almost surely, 2434320124 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 434320124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468218520).

434320124 is an abundant number, since it is smaller than the sum of its proper divisors (502116916).

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

434320124 is a wasteful number, since it uses less digits than its factorization.

434320124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 434320124 is about 20840.3484615781. The cubic root of 434320124 is about 757.3035352628.

Adding to 434320124 its reverse (421023434), we get a palindrome (855343558).

The spelling of 434320124 in words is "four hundred thirty-four million, three hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 43 49 58 86 98 116 172 196 203 301 406 602 812 1204 1247 1421 1777 2107 2494 2842 3554 4214 4988 5684 7108 8428 8729 12439 17458 24878 34916 49756 51533 61103 76411 87073 103066 122206 152822 174146 206132 244412 305644 348292 360731 534877 721462 1069754 1442924 2139508 2215919 2525117 3744139 4431838 5050234 7488278 8863676 10100468 14976556 15511433 31022866 62045732 108580031 217160062 434320124