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3628354320 = 2432528317807
BaseRepresentation
bin1101100001000100…
…0100101100010000
3100100212101111102100
43120101010230100
524412324314240
61400012120400
7155625334323
oct33021045420
910325344370
103628354320
1115a2125338
12853166100
1345a92a026
14265c507ba
15163812e30
hexd8444b10

3628354320 has 120 divisors (see below), whose sum is σ = 12228967296. Its totient is φ = 964088064.

The previous prime is 3628354307. The next prime is 3628354337. The reversal of 3628354320 is 234538263.

It is a happy number.

3628354320 is a `hidden beast` number, since 3 + 6 + 283 + 54 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 194857 + ... + 212663.

Almost surely, 23628354320 is an apocalyptic number.

3628354320 is a gapful number since it is divisible by the number (30) 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 3628354320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114483648).

3628354320 is an abundant number, since it is smaller than the sum of its proper divisors (8600612976).

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

3628354320 is a wasteful number, since it uses less digits than its factorization.

3628354320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18109 (or 18100 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3628354320 is about 60235.8225643180. The cubic root of 3628354320 is about 1536.6320844170.

The spelling of 3628354320 in words is "three billion, six hundred twenty-eight million, three hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 283 360 566 720 849 1132 1415 1698 2264 2547 2830 3396 4245 4528 5094 5660 6792 8490 10188 11320 12735 13584 16980 17807 20376 22640 25470 33960 35614 40752 50940 53421 67920 71228 89035 101880 106842 142456 160263 178070 203760 213684 267105 284912 320526 356140 427368 534210 641052 712280 801315 854736 1068420 1282104 1424560 1602630 2136840 2564208 3205260 4273680 5039381 6410520 10078762 12821040 15118143 20157524 25196905 30236286 40315048 45354429 50393810 60472572 75590715 80630096 90708858 100787620 120945144 151181430 181417716 201575240 226772145 241890288 302362860 362835432 403150480 453544290 604725720 725670864 907088580 1209451440 1814177160 3628354320