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3683340 = 2233519359
BaseRepresentation
bin1110000011010000001100
320221010121000
432003100030
51420331330
6210540300
743210413
oct16032014
96833530
103683340
112096391
121297690
139bc6bb
146bc47a
154cb560
hex38340c

3683340 has 96 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 927936.

The previous prime is 3683333. The next prime is 3683353. The reversal of 3683340 is 433863.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10081 + ... + 10439.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 23683340 is an apocalyptic number.

3683340 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 3683340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3683340 is an abundant number, since it is smaller than the sum of its proper divisors (8412660).

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

3683340 is a wasteful number, since it uses less digits than its factorization.

3683340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3683340 is about 1919.2029595642. The cubic root of 3683340 is about 154.4355466851.

The spelling of 3683340 in words is "three million, six hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 359 380 513 540 570 684 718 855 1026 1077 1140 1436 1710 1795 2052 2154 2565 3231 3420 3590 4308 5130 5385 6462 6821 7180 9693 10260 10770 12924 13642 16155 19386 20463 21540 27284 32310 34105 38772 40926 48465 61389 64620 68210 81852 96930 102315 122778 136420 184167 193860 204630 245556 306945 368334 409260 613890 736668 920835 1227780 1841670 3683340