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3820368 = 243195971
BaseRepresentation
bin1110100100101101010000
321012002120010
432210231100
51434222433
6213514520
744321046
oct16445520
97162503
103820368
11217a332
121342a40
13a39b96
14716396
15506e63
hex3a4b50

3820368 has 80 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1169280.

The previous prime is 3820363. The next prime is 3820379. The reversal of 3820368 is 8630283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53773 + ... + 53843.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 23820368 is an apocalyptic number.

3820368 is a gapful number since it is divisible by the number (38) 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 3820368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3820368 is an abundant number, since it is smaller than the sum of its proper divisors (6893232).

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

3820368 is a wasteful number, since it uses less digits than its factorization.

3820368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3820368 is about 1954.5761688919. The cubic root of 3820368 is about 156.3273860933.

The spelling of 3820368 in words is "three million, eight hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 59 71 76 114 118 142 152 177 213 228 236 284 304 354 426 456 472 568 708 852 912 944 1121 1136 1349 1416 1704 2242 2698 2832 3363 3408 4047 4189 4484 5396 6726 8094 8378 8968 10792 12567 13452 16188 16756 17936 21584 25134 26904 32376 33512 50268 53808 64752 67024 79591 100536 159182 201072 238773 318364 477546 636728 955092 1273456 1910184 3820368