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3104303616 = 29368317
BaseRepresentation
bin1011100100000111…
…1110101000000000
322000100021222000000
42321001332220000
522324200203431
61232012000000
7136633100601
oct27101765000
98010258000
103104303616
111353331287
12727760000
133a61a3b5b
142163d7da8
151327e89e6
hexb907ea00

3104303616 has 140 divisors (see below), whose sum is σ = 9300680202. Its totient is φ = 1034643456.

The previous prime is 3104303599. The next prime is 3104303617. The reversal of 3104303616 is 6163034013.

3104303616 is a `hidden beast` number, since 3 + 1 + 0 + 43 + 0 + 3 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1755945216 + 1348358400 = 41904^2 + 36720^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3104303616.

It is not an unprimeable number, because it can be changed into a prime (3104303617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 369090 + ... + 377406.

Almost surely, 23104303616 is an apocalyptic number.

3104303616 is a gapful number since it is divisible by the number (36) 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 3104303616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650340101).

3104303616 is an abundant number, since it is smaller than the sum of its proper divisors (6196376586).

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

3104303616 is an frugal number, since it uses more digits than its factorization.

3104303616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8353 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3104303616 is about 55716.2778369123. The cubic root of 3104303616 is about 1458.7741659084.

Adding to 3104303616 its reverse (6163034013), we get a palindrome (9267337629).

The spelling of 3104303616 in words is "three billion, one hundred four million, three hundred three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 8317 10368 11664 13824 15552 16634 20736 23328 24951 31104 33268 41472 46656 49902 62208 66536 74853 93312 99804 124416 133072 149706 186624 199608 224559 266144 299412 373248 399216 449118 532288 598824 673677 798432 898236 1064576 1197648 1347354 1596864 1796472 2021031 2129152 2395296 2694708 3193728 3592944 4042062 4258304 4790592 5389416 6063093 6387456 7185888 8084124 9581184 10778832 12126186 12774912 14371776 16168248 19162368 21557664 24252372 28743552 32336496 38324736 43115328 48504744 57487104 64672992 86230656 97009488 114974208 129345984 172461312 194018976 258691968 344922624 388037952 517383936 776075904 1034767872 1552151808 3104303616