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3803976 = 2333111601
BaseRepresentation
bin1110100000101101001000
321011021002000
432200231020
51433211401
6213311000
744222211
oct16405510
97137060
103803976
112168a90
121335460
13a32597
14710408
15502186
hex3a0b48

3803976 has 64 divisors (see below), whose sum is σ = 11534400. Its totient is φ = 1152000.

The previous prime is 3803951. The next prime is 3803977. The reversal of 3803976 is 6793083.

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

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 3803976.

It is not an unprimeable number, because it can be changed into a prime (3803977) 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, 1576 + ... + 3176.

It is an arithmetic number, because the mean of its divisors is an integer number (180225).

Almost surely, 23803976 is an apocalyptic number.

3803976 is a gapful number since it is divisible by the number (36) 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 3803976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767200).

3803976 is an abundant number, since it is smaller than the sum of its proper divisors (7730424).

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

3803976 is a wasteful number, since it uses less digits than its factorization.

3803976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3803976 is about 1950.3784248191. The cubic root of 3803976 is about 156.1034816368.

It can be divided in two parts, 380 and 3976, that added together give a square (4356 = 662).

The spelling of 3803976 in words is "three million, eight hundred three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1601 2376 3202 4803 6404 9606 12808 14409 17611 19212 28818 35222 38424 43227 52833 57636 70444 86454 105666 115272 140888 158499 172908 211332 316998 345816 422664 475497 633996 950994 1267992 1901988 3803976