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3816334620 = 223257361813
BaseRepresentation
bin1110001101111000…
…1010010100011100
3100211222002212220200
43203132022110130
530303440201440
61430405143500
7163400211000
oct34336122434
910758085820
103816334620
11168924875a
128a60bab90
1348a866387
14282bc4700
15175095c30
hexe378a51c

3816334620 has 144 divisors (see below), whose sum is σ = 13500177600. Its totient is φ = 872290944.

The previous prime is 3816334619. The next prime is 3816334631. The reversal of 3816334620 is 264336183.

3816334620 is a `hidden beast` number, since 38 + 163 + 3 + 462 + 0 = 666.

3816334620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 30834 + ... + 92646.

Almost surely, 23816334620 is an apocalyptic number.

3816334620 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 3816334620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750088800).

3816334620 is an abundant number, since it is smaller than the sum of its proper divisors (9683842980).

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

3816334620 is a wasteful number, since it uses less digits than its factorization.

3816334620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61849 (or 61830 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3816334620 is about 61776.4892171771. The cubic root of 3816334620 is about 1562.7235214736.

The spelling of 3816334620 in words is "three billion, eight hundred sixteen million, three hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5145 6174 6860 8820 10290 12348 15435 20580 30870 61740 61813 123626 185439 247252 309065 370878 432691 556317 618130 741756 865382 927195 1112634 1236260 1298073 1730764 1854390 2163455 2225268 2596146 2781585 3028837 3708780 3894219 4326910 5192292 5563170 6057674 6490365 7788438 8653820 9086511 11126340 12115348 12980730 15144185 15576876 18173022 19471095 21201859 25961460 27259533 30288370 36346044 38942190 42403718 45432555 54519066 60576740 63605577 77884380 84807436 90865110 106009295 109038132 127211154 136297665 181730220 190816731 212018590 254422308 272595330 318027885 381633462 424037180 545190660 636055770 763266924 954083655 1272111540 1908167310 3816334620