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307914320 = 24573117737
BaseRepresentation
bin10010010110100…
…110011001010000
3210110101200001002
4102112212121100
51112311224240
650315401132
710426141250
oct2226463120
9713350032
10307914320
1114889a64a
12871531a8
134ba3c22c
142cc73960
151c073d15
hex125a6650

307914320 has 80 divisors (see below), whose sum is σ = 844612608. Its totient is φ = 102159360.

The previous prime is 307914283. The next prime is 307914331. The reversal of 307914320 is 23419703.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3079143202 = 189622456922124800, which contains 22 as substring.

It is a congruent number.

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, 8492 + ... + 26228.

Almost surely, 2307914320 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 307914320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422306304).

307914320 is an abundant number, since it is smaller than the sum of its proper divisors (536698288).

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

307914320 is a wasteful number, since it uses less digits than its factorization.

307914320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17788 (or 17782 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 307914320 is about 17547.4875694499. The cubic root of 307914320 is about 675.2687142283.

The spelling of 307914320 in words is "three hundred seven million, nine hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 17360 17737 35474 70948 88685 124159 141896 177370 248318 283792 354740 496636 549847 620795 709480 993272 1099694 1241590 1418960 1986544 2199388 2483180 2749235 3848929 4398776 4966360 5498470 7697858 8797552 9932720 10996940 15395716 19244645 21993880 30791432 38489290 43987760 61582864 76978580 153957160 307914320