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306714320 = 24511714909
BaseRepresentation
bin10010010010000…
…001011011010000
3210101010200221122
4102102001123100
51112004324240
650233541412
710413012563
oct2222013320
9711120848
10306714320
11148150010
1286874868
134b70bc83
142ca404da
151bdd84b5
hex124816d0

306714320 has 80 divisors (see below), whose sum is σ = 789056640. Its totient is φ = 109939200.

The previous prime is 306714307. The next prime is 306714347. The reversal of 306714320 is 23417603.

306714320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 306714320.

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, 60026 + ... + 64934.

It is an arithmetic number, because the mean of its divisors is an integer number (9863208).

Almost surely, 2306714320 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 306714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394528320).

306714320 is an abundant number, since it is smaller than the sum of its proper divisors (482342320).

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

306714320 is a wasteful number, since it uses less digits than its factorization.

306714320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 306714320 is about 17513.2612611130. The cubic root of 306714320 is about 674.3903558137.

The spelling of 306714320 in words is "three hundred six million, seven hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 220 284 355 440 568 710 781 880 1136 1420 1562 2840 3124 3905 4909 5680 6248 7810 9818 12496 15620 19636 24545 31240 39272 49090 53999 62480 78544 98180 107998 196360 215996 269995 348539 392720 431992 539990 697078 863984 1079980 1394156 1742695 2159960 2788312 3485390 3833929 4319920 5576624 6970780 7667858 13941560 15335716 19169645 27883120 30671432 38339290 61342864 76678580 153357160 306714320