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303394968 = 233237611867
BaseRepresentation
bin10010000101010…
…111000010011000
3210010220001122200
4102011113002120
51110132114333
650034450200
710342546302
oct2205270230
9703801580
10303394968
11146293148
1285733960
134ab19166
142c418972
151b97ec13
hex12157098

303394968 has 96 divisors (see below), whose sum is σ = 858196560. Its totient is φ = 96733440.

The previous prime is 303394921. The next prime is 303394979. The reversal of 303394968 is 869493303.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 161571 + ... + 163437.

Almost surely, 2303394968 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 303394968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429098280).

303394968 is an abundant number, since it is smaller than the sum of its proper divisors (554801592).

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

303394968 is a wasteful number, since it uses less digits than its factorization.

303394968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 303394968 is about 17418.2366501320. The cubic root of 303394968 is about 671.9487099460.

The spelling of 303394968 in words is "three hundred three million, three hundred ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 61 72 74 111 122 148 183 222 244 296 333 366 444 488 549 666 732 888 1098 1332 1464 1867 2196 2257 2664 3734 4392 4514 5601 6771 7468 9028 11202 13542 14936 16803 18056 20313 22404 27084 33606 40626 44808 54168 67212 69079 81252 113887 134424 138158 162504 207237 227774 276316 341661 414474 455548 552632 621711 683322 828948 911096 1024983 1243422 1366644 1657896 2049966 2486844 2733288 4099932 4213819 4973688 8199864 8427638 12641457 16855276 25282914 33710552 37924371 50565828 75848742 101131656 151697484 303394968