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3014012304 = 243237215289
BaseRepresentation
bin1011001110100110…
…0010110110010000
321210001101200121100
42303221202312100
522133041343204
61215024424400
7134455452612
oct26351426620
97701350540
103014012304
111307371066
12701478100
1339057c444
14208412db2
15129910a39
hexb3a62d90

3014012304 has 90 divisors (see below), whose sum is σ = 8669751090. Its totient is φ = 977453568.

The previous prime is 3014012303. The next prime is 3014012327. The reversal of 3014012304 is 4032104103.

3014012304 is a `hidden beast` number, since 30 + 1 + 401 + 230 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1881824400 + 1132187904 = 43380^2 + 33648^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3014012303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189492 + ... + 204780.

Almost surely, 23014012304 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 3014012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334875545).

3014012304 is an abundant number, since it is smaller than the sum of its proper divisors (5655738786).

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

3014012304 is a wasteful number, since it uses less digits than its factorization.

3014012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15377 (or 15331 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3014012304 is about 54900.0209836025. The cubic root of 3014012304 is about 1444.4915543732.

Adding to 3014012304 its reverse (4032104103), we get a palindrome (7046116407).

It can be divided in two parts, 301401 and 2304, that multiplied together give a square (694427904 = 263522).

The spelling of 3014012304 in words is "three billion, fourteen million, twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1369 1776 2664 2738 4107 5328 5476 8214 10952 12321 15289 16428 21904 24642 30578 32856 45867 49284 61156 65712 91734 98568 122312 137601 183468 197136 244624 275202 366936 550404 565693 733872 1100808 1131386 1697079 2201616 2262772 3394158 4525544 5091237 6788316 9051088 10182474 13576632 20364948 20930641 27153264 40729896 41861282 62791923 81459792 83722564 125583846 167445128 188375769 251167692 334890256 376751538 502335384 753503076 1004670768 1507006152 3014012304