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309416704 = 2831127307
BaseRepresentation
bin10010011100010…
…101001100000000
3210120012222220221
4102130111030000
51113202313304
650411512424
710444666342
oct2234251400
9716188827
10309416704
11149726393
1287758714
134c14700c
142d145292
151c26e054
hex12715300

309416704 has 72 divisors (see below), whose sum is σ = 644661248. Its totient is φ = 148055040.

The previous prime is 309416683. The next prime is 309416717. The reversal of 309416704 is 407614903.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 309416704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1007719 + ... + 1008025.

Almost surely, 2309416704 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 309416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322330624).

309416704 is an abundant number, since it is smaller than the sum of its proper divisors (335244544).

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

309416704 is a wasteful number, since it uses less digits than its factorization.

309416704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 309416704 is about 17590.2445690786. The cubic root of 309416704 is about 676.3651960429.

The spelling of 309416704 in words is "three hundred nine million, four hundred sixteen thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 128 248 254 256 307 496 508 614 992 1016 1228 1984 2032 2456 3937 3968 4064 4912 7874 7936 8128 9517 9824 15748 16256 19034 19648 31496 32512 38068 38989 39296 62992 76136 77978 78592 125984 152272 155956 251968 304544 311912 503936 609088 623824 1007872 1208659 1218176 1247648 2417318 2436352 2495296 4834636 4990592 9669272 9981184 19338544 38677088 77354176 154708352 309416704