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634842516 = 2237111936161
BaseRepresentation
bin100101110101101…
…110110110010100
31122020120100012210
4211311232312110
52300004430031
6142554513420
721506033550
oct4565566624
91566510183
10634842516
112a6396640
12158735870
13a16a7a79
1460456860
153ab01746
hex25d6ed94

634842516 has 96 divisors (see below), whose sum is σ = 1944069120. Its totient is φ = 156211200.

The previous prime is 634842493. The next prime is 634842539. The reversal of 634842516 is 615248436.

It is an interprime number because it is at equal distance from previous prime (634842493) and next prime (634842539).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 525 + ... + 35636.

It is an arithmetic number, because the mean of its divisors is an integer number (20250720).

Almost surely, 2634842516 is an apocalyptic number.

634842516 is a gapful number since it is divisible by the number (66) 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 634842516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972034560).

634842516 is an abundant number, since it is smaller than the sum of its proper divisors (1309226604).

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

634842516 is a wasteful number, since it uses less digits than its factorization.

634842516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36205 (or 36203 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 634842516 is about 25196.0813619896. The cubic root of 634842516 is about 859.4527417864.

The spelling of 634842516 in words is "six hundred thirty-four million, eight hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8778 17556 36161 72322 108483 144644 216966 253127 397771 433932 506254 687059 759381 795542 1012508 1193313 1374118 1518762 1591084 2061177 2386626 2748236 2784397 3037524 4122354 4773252 4809413 5568794 7557649 8244708 8353191 9618826 11137588 14428239 15115298 16706382 19237652 22672947 28856478 30230596 33412764 45345894 52903543 57712956 90691788 105807086 158710629 211614172 317421258 634842516