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3144304416 = 2531126911069
BaseRepresentation
bin1011101101101010…
…0100011100100000
322010010120012210010
42323122210130200
522414420220131
61240001204520
7140630101161
oct27332443440
98103505703
103144304416
1113739724a0
12739030740
133b156ab76
1421b84b768
1513609ab46
hexbb6a4720

3144304416 has 96 divisors (see below), whose sum is σ = 9038433600. Its totient is φ = 949191680.

The previous prime is 3144304403. The next prime is 3144304417. The reversal of 3144304416 is 6144034413.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3144304417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278530 + ... + 289598.

It is an arithmetic number, because the mean of its divisors is an integer number (94150350).

Almost surely, 23144304416 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 3144304416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519216800).

3144304416 is an abundant number, since it is smaller than the sum of its proper divisors (5894129184).

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

3144304416 is a wasteful number, since it uses less digits than its factorization.

3144304416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11362 (or 11354 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3144304416 is about 56074.0975495817. The cubic root of 3144304416 is about 1465.0131688954.

Adding to 3144304416 its reverse (6144034413), we get a palindrome (9288338829).

The spelling of 3144304416 in words is "three billion, one hundred forty-four million, three hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 269 352 528 538 807 1056 1076 1614 2152 2959 3228 4304 5918 6456 8608 8877 11069 11836 12912 17754 22138 23672 25824 33207 35508 44276 47344 66414 71016 88552 94688 121759 132828 142032 177104 243518 265656 284064 354208 365277 487036 531312 730554 974072 1062624 1461108 1948144 2922216 2977561 3896288 5844432 5955122 8932683 11688864 11910244 17865366 23820488 32753171 35730732 47640976 65506342 71461464 95281952 98259513 131012684 142922928 196519026 262025368 285845856 393038052 524050736 786076104 1048101472 1572152208 3144304416