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424434312 = 233219449691
BaseRepresentation
bin11001010011000…
…101101010001000
31002120122111102100
4121103011222020
51332123344222
6110041033400
713342426551
oct3123055210
91076574370
10424434312
111a8644865
12ba185860
1369c18183
1440525328
15273dd4ac
hex194c5a88

424434312 has 96 divisors (see below), whose sum is σ = 1214460000. Its totient is φ = 133539840.

The previous prime is 424434287. The next prime is 424434319. The reversal of 424434312 is 213434424.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (424434319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613887 + ... + 614577.

It is an arithmetic number, because the mean of its divisors is an integer number (12650625).

Almost surely, 2424434312 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 424434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607230000).

424434312 is an abundant number, since it is smaller than the sum of its proper divisors (790025688).

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

424434312 is a wasteful number, since it uses less digits than its factorization.

424434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1164 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 424434312 is about 20601.8036103638. The cubic root of 424434312 is about 751.5135727420.

Adding to 424434312 its reverse (213434424), we get a palindrome (637868736).

The spelling of 424434312 in words is "four hundred twenty-four million, four hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 449 456 684 691 898 1347 1368 1382 1796 2073 2694 2764 3592 4041 4146 5388 5528 6219 8082 8292 8531 10776 12438 13129 16164 16584 17062 24876 25593 26258 32328 34124 39387 49752 51186 52516 68248 76779 78774 102372 105032 118161 153558 157548 204744 236322 307116 310259 315096 472644 614232 620518 930777 945288 1241036 1861554 2482072 2792331 3723108 5584662 5894921 7446216 11169324 11789842 17684763 22338648 23579684 35369526 47159368 53054289 70739052 106108578 141478104 212217156 424434312