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3014013200 = 245211262273
BaseRepresentation
bin1011001110100110…
…0011000100010000
321210001101201211112
42303221203010100
522133041410300
61215024432452
7134455455332
oct26351430420
97701351745
103014013200
111307371800
12701478728
1339057c983
14208413452
15129910e35
hexb3a63110

3014013200 has 90 divisors (see below), whose sum is σ = 7959426762. Its totient is φ = 1095987200.

The previous prime is 3014013151. The next prime is 3014013203. The reversal of 3014013200 is 23104103.

It can be written as a sum of positive squares in 3 ways, for example, as 94556176 + 2919457024 = 9724^2 + 54032^2 .

It is not an unprimeable number, because it can be changed into a prime (3014013203) 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 17 ways as a sum of consecutive naturals, for example, 17264 + ... + 79536.

Almost surely, 23014013200 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 3014013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979713381).

3014013200 is an abundant number, since it is smaller than the sum of its proper divisors (4945413562).

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

3014013200 is a wasteful number, since it uses less digits than its factorization.

3014013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62313 (or 62291 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3014013200 is about 54900.0291438903. The cubic root of 3014013200 is about 1444.4916975118.

Adding to 3014013200 its reverse (23104103), we get a palindrome (3037117303).

The spelling of 3014013200 in words is "three billion, fourteen million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 62273 124546 249092 311365 498184 622730 685003 996368 1245460 1370006 1556825 2490920 2740012 3113650 3425015 4981840 5480024 6227300 6850030 7535033 10960048 12454600 13700060 15070066 17125075 24909200 27400120 30140132 34250150 37675165 54800240 60280264 68500300 75350330 120560528 137000600 150700660 188375825 274001200 301401320 376751650 602802640 753503300 1507006600 3014013200