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3423205620 = 2232541463849
BaseRepresentation
bin1100110000001001…
…1111100011110100
322211120100212022100
43030002133203310
524002320034440
61323403102100
7150554524212
oct31402374364
98746325270
103423205620
1114a734605a
127b6511930
1342728c373
142468cbcb2
151507dd230
hexcc09f8f4

3423205620 has 72 divisors (see below), whose sum is σ = 10637008200. Its totient is φ = 890588160.

The previous prime is 3423205613. The next prime is 3423205631. The reversal of 3423205620 is 265023243.

3423205620 is a `hidden beast` number, since 3 + 4 + 2 + 32 + 0 + 5 + 620 = 666.

3423205620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48525156 + 3374680464 = 6966^2 + 58092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224545 + ... + 239304.

It is an arithmetic number, because the mean of its divisors is an integer number (147736225).

Almost surely, 23423205620 is an apocalyptic number.

3423205620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3423205620 is an abundant number, since it is smaller than the sum of its proper divisors (7213802580).

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

3423205620 is a wasteful number, since it uses less digits than its factorization.

3423205620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463905 (or 463900 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3423205620 is about 58508.1671222061. The cubic root of 3423205620 is about 1507.1078392148.

Adding to 3423205620 its reverse (265023243), we get a palindrome (3688228863).

The spelling of 3423205620 in words is "three billion, four hundred twenty-three million, two hundred five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 463849 927698 1391547 1855396 2319245 2783094 4174641 4638490 5566188 6957735 8349282 9276980 13915470 16698564 19017809 20873205 27830940 38035618 41746410 57053427 76071236 83492820 95089045 114106854 171160281 190178090 228213708 285267135 342320562 380356180 570534270 684641124 855801405 1141068540 1711602810 3423205620