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686340320 = 25517214843
BaseRepresentation
bin101000111010001…
…011100011100000
31202211110200220212
4220322023203200
52401200342240
6152034353252
723002540121
oct5072134340
91684420825
10686340320
1132246a706
12171a2b828
13ac268b43
1467220048
15403c5165
hex28e8b8e0

686340320 has 72 divisors (see below), whose sum is σ = 1722586824. Its totient is φ = 258369536.

The previous prime is 686340313. The next prime is 686340323. The reversal of 686340320 is 23043686.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686340323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38819 + ... + 53661.

It is an arithmetic number, because the mean of its divisors is an integer number (23924817).

Almost surely, 2686340320 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 686340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861293412).

686340320 is an abundant number, since it is smaller than the sum of its proper divisors (1036246504).

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

686340320 is a wasteful number, since it uses less digits than its factorization.

686340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14892 (or 14867 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 686340320 is about 26198.0976408593. The cubic root of 686340320 is about 882.0905531056.

The spelling of 686340320 in words is "six hundred eighty-six million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1156 1360 1445 2312 2720 2890 4624 5780 9248 11560 14843 23120 29686 46240 59372 74215 118744 148430 237488 252331 296860 474976 504662 593720 1009324 1187440 1261655 2018648 2374880 2523310 4037296 4289627 5046620 8074592 8579254 10093240 17158508 20186480 21448135 34317016 40372960 42896270 68634032 85792540 137268064 171585080 343170160 686340320