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634424340 = 2235116714347
BaseRepresentation
bin100101110100001…
…000110000010100
31122012210002120210
4211310020300110
52244403034330
6142541525420
721502342434
oct4564106024
91565702523
10634424340
112a6130440
12158573870
13a158c624
14603882c4
153aa6c8b0
hex25d08c14

634424340 has 96 divisors (see below), whose sum is σ = 1966938624. Its totient is φ = 151493760.

The previous prime is 634424333. The next prime is 634424347. The reversal of 634424340 is 43424436.

It is an interprime number because it is at equal distance from previous prime (634424333) and next prime (634424347).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 634424298 and 634424307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634424347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37047 + ... + 51393.

It is an arithmetic number, because the mean of its divisors is an integer number (20488944).

Almost surely, 2634424340 is an apocalyptic number.

634424340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983469312).

634424340 is an abundant number, since it is smaller than the sum of its proper divisors (1332514284).

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

634424340 is a wasteful number, since it uses less digits than its factorization.

634424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14437 (or 14435 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 634424340 is about 25187.7815617017. The cubic root of 634424340 is about 859.2639908005.

Adding to 634424340 its reverse (43424436), we get a palindrome (677848776).

The spelling of 634424340 in words is "six hundred thirty-four million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 268 330 335 402 660 670 737 804 1005 1340 1474 2010 2211 2948 3685 4020 4422 7370 8844 11055 14347 14740 22110 28694 43041 44220 57388 71735 86082 143470 157817 172164 215205 286940 315634 430410 473451 631268 789085 860820 946902 961249 1578170 1893804 1922498 2367255 2883747 3156340 3844996 4734510 4806245 5767494 9469020 9612490 10573739 11534988 14418735 19224980 21147478 28837470 31721217 42294956 52868695 57674940 63442434 105737390 126884868 158606085 211474780 317212170 634424340