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928684340 = 225237272777
BaseRepresentation
bin110111010110101…
…001100100110100
32101201111001102022
4313112221210310
53400220344330
6232052532312
732004454343
oct6726514464
92351431368
10928684340
11437244321
1221b021098
1311a52a87c
148b4a5b5a
15567e5ae5
hex375a9934

928684340 has 48 divisors (see below), whose sum is σ = 2038563072. Its totient is φ = 354706176.

The previous prime is 928684307. The next prime is 928684403. The reversal of 928684340 is 43486829.

It is a super-2 number, since 2×9286843402 = 1724909206722471200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 928684291 and 928684300.

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, 333032 + ... + 335808.

It is an arithmetic number, because the mean of its divisors is an integer number (42470064).

Almost surely, 2928684340 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 928684340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019281536).

928684340 is an abundant number, since it is smaller than the sum of its proper divisors (1109878732).

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

928684340 is a wasteful number, since it uses less digits than its factorization.

928684340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 928684340 is about 30474.3226339815. The cubic root of 928684340 is about 975.6394980625.

The spelling of 928684340 in words is "nine hundred twenty-eight million, six hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 727 1454 2777 2908 3635 5554 7270 11108 13885 14540 16721 27770 33442 55540 63871 66884 83605 127742 167210 255484 319355 334420 638710 1277420 2018879 4037758 8075516 10094395 20188790 40377580 46434217 92868434 185736868 232171085 464342170 928684340