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208378368 = 2932114111
BaseRepresentation
bin11000110101110…
…01101000000000
3112112002201101100
430122321220000
5411321101433
632402134400
75110121052
oct1432715000
9475081340
10208378368
11a7695830
1259951400
133422ba13
141d9638d2
1513461b13
hexc6b9a00

208378368 has 120 divisors (see below), whose sum is σ = 656225856. Its totient is φ = 63129600.

The previous prime is 208378361. The next prime is 208378381. The reversal of 208378368 is 863873802.

It is not an unprimeable number, because it can be changed into a prime (208378361) 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 11 ways as a sum of consecutive naturals, for example, 48633 + ... + 52743.

Almost surely, 2208378368 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 208378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328112928).

208378368 is an abundant number, since it is smaller than the sum of its proper divisors (447847488).

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

208378368 is a wasteful number, since it uses less digits than its factorization.

208378368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 208378368 is about 14435.3166920577. The cubic root of 208378368 is about 592.8582632720.

The spelling of 208378368 in words is "two hundred eight million, three hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4111 4224 4608 5632 6336 8222 8448 12333 12672 16444 16896 24666 25344 32888 36999 45221 49332 50688 65776 73998 90442 98664 131552 135663 147996 180884 197328 263104 271326 295992 361768 394656 406989 526208 542652 591984 723536 789312 813978 1052416 1085304 1183968 1447072 1578624 1627956 2104832 2170608 2367936 2894144 3157248 3255912 4341216 4735872 5788288 6314496 6511824 8682432 9471744 11576576 13023648 17364864 18943488 23153152 26047296 34729728 52094592 69459456 104189184 208378368