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303000012 = 223273173793
BaseRepresentation
bin10010000011110…
…110100111001100
3210010010222212200
4102003312213030
51110032000022
650022201500
710336312650
oct2203664714
9703128780
10303000012
11146043437
1285583290
134aa0b463
142c354a60
151b902bac
hex120f69cc

303000012 has 72 divisors (see below), whose sum is σ = 878326176. Its totient is φ = 86275584.

The previous prime is 303000007. The next prime is 303000041. The reversal of 303000012 is 210000303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 302999958 and 303000003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77988 + ... + 81780.

Almost surely, 2303000012 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 303000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439163088).

303000012 is an abundant number, since it is smaller than the sum of its proper divisors (575326164).

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

303000012 is a wasteful number, since it uses less digits than its factorization.

303000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 303000012 is about 17406.8955302202. The cubic root of 303000012 is about 671.6570050215.

Adding to 303000012 its reverse (210000303), we get a palindrome (513000315).

The spelling of 303000012 in words is "three hundred three million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 951 1268 1902 2219 2853 3793 3804 4438 5706 6657 7586 8876 11379 11412 13314 15172 19971 22758 26551 26628 34137 39942 45516 53102 68274 79653 79884 106204 136548 159306 238959 318612 477918 955836 1202381 2404762 3607143 4809524 7214286 8416667 10821429 14428572 16833334 21642858 25250001 33666668 43285716 50500002 75750003 101000004 151500006 303000012