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434130424 = 23713691863
BaseRepresentation
bin11001111000000…
…100110111111000
31010020220002222121
4121320010313320
51342114133144
6111024531024
713521022240
oct3170046770
91106802877
10434130424
11203067682
12101480a74
136bc31610
144192ab20
15281a6384
hex19e04df8

434130424 has 64 divisors (see below), whose sum is σ = 1004451840. Its totient is φ = 171296640.

The previous prime is 434130413. The next prime is 434130439. The reversal of 434130424 is 424031434.

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, 502617 + ... + 503479.

It is an arithmetic number, because the mean of its divisors is an integer number (15694560).

Almost surely, 2434130424 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 434130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502225920).

434130424 is an abundant number, since it is smaller than the sum of its proper divisors (570321416).

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

434130424 is a wasteful number, since it uses less digits than its factorization.

434130424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 434130424 is about 20835.7966970308. The cubic root of 434130424 is about 757.1932622226.

Adding to 434130424 its reverse (424031434), we get a palindrome (858161858).

The spelling of 434130424 in words is "four hundred thirty-four million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 691 728 863 1382 1726 2764 3452 4837 5528 6041 6904 8983 9674 11219 12082 17966 19348 22438 24164 35932 38696 44876 48328 62881 71864 78533 89752 125762 157066 251524 314132 503048 596333 628264 1192666 2385332 4174331 4770664 7752329 8348662 15504658 16697324 31009316 33394648 54266303 62018632 108532606 217065212 434130424