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634542216 = 2337112314929
BaseRepresentation
bin100101110100100…
…101100010001000
31122020000002021120
4211310211202020
52244420322331
6142544235240
721503343210
oct4564454210
91566002246
10634542216
112a6200a60
1215860bb20
13a1601189
14603b9240
153aa92796
hex25d25888

634542216 has 128 divisors (see below), whose sum is σ = 2063923200. Its totient is φ = 157639680.

The previous prime is 634542179. The next prime is 634542241. The reversal of 634542216 is 612245436.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35040 + ... + 49968.

It is an arithmetic number, because the mean of its divisors is an integer number (16124400).

Almost surely, 2634542216 is an apocalyptic number.

634542216 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 634542216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031961600).

634542216 is an abundant number, since it is smaller than the sum of its proper divisors (1429380984).

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

634542216 is a wasteful number, since it uses less digits than its factorization.

634542216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14979 (or 14975 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 634542216 is about 25190.1213970874. The cubic root of 634542216 is about 859.3172045689.

The spelling of 634542216 in words is "six hundred thirty-four million, five hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 132 138 154 161 168 184 231 253 264 276 308 322 462 483 506 552 616 644 759 924 966 1012 1288 1518 1771 1848 1932 2024 3036 3542 3864 5313 6072 7084 10626 14168 14929 21252 29858 42504 44787 59716 89574 104503 119432 164219 179148 209006 313509 328438 343367 358296 418012 492657 627018 656876 686734 836024 985314 1030101 1149533 1254036 1313752 1373468 1970628 2060202 2299066 2403569 2508072 2746936 3448599 3777037 3941256 4120404 4598132 4807138 6897198 7210707 7554074 8240808 9196264 9614276 11331111 13794396 14421414 15108148 19228552 22662222 26439259 27588792 28842828 30216296 45324444 52878518 57685656 79317777 90648888 105757036 158635554 211514072 317271108 634542216