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3014102304 = 253211099437
BaseRepresentation
bin1011001110100111…
…1000110100100000
321210001120021001200
42303221320310200
522133102233204
61215030401200
7134456306163
oct26351706440
97701507050
103014102304
111307422744
12701500200
133905b13b5
14208437ada
1512992c539
hexb3a78d20

3014102304 has 72 divisors (see below), whose sum is σ = 8579991420. Its totient is φ = 1003688448.

The previous prime is 3014102291. The next prime is 3014102309. The reversal of 3014102304 is 4032014103.

It can be written as a sum of positive squares in 2 ways, for example, as 2761292304 + 252810000 = 52548^2 + 15900^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (3014102309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314674 + ... + 324110.

Almost surely, 23014102304 is an apocalyptic number.

It is an amenable number.

3014102304 is an abundant number, since it is smaller than the sum of its proper divisors (5565889116).

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

3014102304 is a wasteful number, since it uses less digits than its factorization.

3014102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10562 (or 10551 counting only the distinct ones).

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

The square root of 3014102304 is about 54900.8406493015. The cubic root of 3014102304 is about 1444.5059319905.

Adding to 3014102304 its reverse (4032014103), we get a palindrome (7046116407).

The spelling of 3014102304 in words is "three billion, fourteen million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1109 2218 3327 4436 6654 8872 9437 9981 13308 17744 18874 19962 26616 28311 35488 37748 39924 53232 56622 75496 79848 84933 106464 113244 150992 159696 169866 226488 301984 319392 339732 452976 679464 905952 1358928 2717856 10465633 20931266 31396899 41862532 62793798 83725064 94190697 125587596 167450128 188381394 251175192 334900256 376762788 502350384 753525576 1004700768 1507051152 3014102304