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3422665620 = 22325113794561
BaseRepresentation
bin1100110000000001…
…1011101110010100
322211112100102120100
43030000123232110
524002200244440
61323343334100
7150550114653
oct31400335624
98745312510
103422665620
1114a7007380
127b62b1330
1342713063a
142467cb19a
15150733230
hexcc01bb94

3422665620 has 144 divisors (see below), whose sum is σ = 11358285120. Its totient is φ = 827366400.

The previous prime is 3422665583. The next prime is 3422665651. The reversal of 3422665620 is 265662243.

3422665620 is a `hidden beast` number, since 3 + 4 + 2 + 26 + 6 + 5 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748140 + ... + 752700.

It is an arithmetic number, because the mean of its divisors is an integer number (78876980).

Almost surely, 23422665620 is an apocalyptic number.

3422665620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422665620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679142560).

3422665620 is an abundant number, since it is smaller than the sum of its proper divisors (7935619500).

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

3422665620 is a wasteful number, since it uses less digits than its factorization.

3422665620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3422665620 is about 58503.5521998451. The cubic root of 3422665620 is about 1507.0285878618.

The spelling of 3422665620 in words is "three billion, four hundred twenty-two million, six hundred sixty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 379 396 495 660 758 990 1137 1516 1895 1980 2274 3411 3790 4169 4548 4561 5685 6822 7580 8338 9122 11370 12507 13644 13683 16676 17055 18244 20845 22740 22805 25014 27366 34110 37521 41049 41690 45610 50028 50171 54732 62535 68220 68415 75042 82098 83380 91220 100342 125070 136830 150084 150513 164196 187605 200684 205245 250140 250855 273660 301026 375210 410490 451539 501710 602052 750420 752565 820980 903078 1003420 1505130 1728619 1806156 2257695 3010260 3457238 4515390 5185857 6914476 8643095 9030780 10371714 15557571 17286190 19014809 20743428 25929285 31115142 34572380 38029618 51858570 57044427 62230284 76059236 77787855 95074045 103717140 114088854 155575710 171133281 190148090 228177708 285222135 311151420 342266562 380296180 570444270 684533124 855666405 1140888540 1711332810 3422665620