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303106664 = 23737241607
BaseRepresentation
bin10010000100010…
…000101001101000
3210010100102011202
4102010100221220
51110043403124
650024343332
710340235620
oct2204205150
9703312152
10303106664
11146106583
1285614b48
134aa47b73
142c381880
151b9245ae
hex12110a68

303106664 has 64 divisors (see below), whose sum is σ = 670940160. Its totient is φ = 125660160.

The previous prime is 303106633. The next prime is 303106681. The reversal of 303106664 is 466601303.

It is a super-2 number, since 2×3031066642 = 183747299522417792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499049 + ... + 499655.

It is an arithmetic number, because the mean of its divisors is an integer number (10483440).

Almost surely, 2303106664 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 303106664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335470080).

303106664 is an abundant number, since it is smaller than the sum of its proper divisors (367833496).

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

303106664 is a wasteful number, since it uses less digits than its factorization.

303106664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 303106664 is about 17409.9587592849. The cubic root of 303106664 is about 671.7358005738.

Adding to 303106664 its reverse (466601303), we get a palindrome (769707967).

The spelling of 303106664 in words is "three hundred three million, one hundred six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 241 259 296 482 518 607 964 1036 1214 1687 1928 2072 2428 3374 4249 4856 6748 8498 8917 13496 16996 17834 22459 33992 35668 44918 62419 71336 89836 124838 146287 157213 179672 249676 292574 314426 499352 585148 628852 1024009 1170296 1257704 2048018 4096036 5412619 8192072 10825238 21650476 37888333 43300952 75776666 151553332 303106664