Search a number
-
+
302405012 = 227132341881
BaseRepresentation
bin10010000001100…
…101010110010100
3210002000202200122
4102001211112110
51104403430022
650001331112
710331254160
oct2201452624
9702022618
10302405012
111457773a8
1285336a98
134a8606a0
142c23bca0
151b836742
hex12065594

302405012 has 96 divisors (see below), whose sum is σ = 697019904. Its totient is φ = 111513600.

The previous prime is 302404987. The next prime is 302405017. The reversal of 302405012 is 210504203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302405017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342812 + ... + 343692.

It is an arithmetic number, because the mean of its divisors is an integer number (7260624).

Almost surely, 2302405012 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 302405012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348509952).

302405012 is an abundant number, since it is smaller than the sum of its proper divisors (394614892).

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

302405012 is a wasteful number, since it uses less digits than its factorization.

302405012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 302405012 is about 17389.7962035212. The cubic root of 302405012 is about 671.2170734750.

Adding to 302405012 its reverse (210504203), we get a palindrome (512909215).

It can be divided in two parts, 30 and 2405012, that added together give a palindrome (2405042).

The spelling of 302405012 in words is "three hundred two million, four hundred five thousand, twelve".

Divisors: 1 2 4 7 13 14 23 26 28 41 46 52 82 91 92 161 164 182 287 299 322 364 533 574 598 644 881 943 1066 1148 1196 1762 1886 2093 2132 3524 3731 3772 4186 6167 6601 7462 8372 11453 12259 12334 13202 14924 20263 22906 24518 24668 26404 36121 40526 45812 49036 72242 80171 81052 85813 141841 144484 160342 171626 252847 263419 283682 320684 343252 469573 505694 526838 567364 830783 939146 1011388 1053676 1661566 1843933 1878292 3287011 3323132 3687866 5815481 6574022 7375732 10800179 11630962 13148044 21600358 23261924 43200716 75601253 151202506 302405012