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3890376 = 233373183
BaseRepresentation
bin1110110101110011001000
321022122121000
432311303020
51443443001
6215215000
745032130
oct16656310
97278530
103890376
112217996
121377460
13a629c9
14733ac0
1551ca86
hex3b5cc8

3890376 has 128 divisors (see below), whose sum is σ = 12902400. Its totient is φ = 1062720.

The previous prime is 3890357. The next prime is 3890377. The reversal of 3890376 is 6730983.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3890376.

It is not an unprimeable number, because it can be changed into a prime (3890377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46831 + ... + 46913.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

Almost surely, 23890376 is an apocalyptic number.

3890376 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 3890376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451200).

3890376 is an abundant number, since it is smaller than the sum of its proper divisors (9012024).

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

3890376 is a wasteful number, since it uses less digits than its factorization.

3890376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

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

The square root of 3890376 is about 1972.4036098121. The cubic root of 3890376 is about 157.2765084136.

The spelling of 3890376 in words is "three million, eight hundred ninety thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 83 84 93 108 124 126 166 168 186 189 216 217 248 249 252 279 332 372 378 434 498 504 558 581 651 664 744 747 756 837 868 996 1116 1162 1302 1494 1512 1674 1736 1743 1953 1992 2232 2241 2324 2573 2604 2988 3348 3486 3906 4482 4648 5146 5208 5229 5859 5976 6696 6972 7719 7812 8964 10292 10458 11718 13944 15438 15624 15687 17928 18011 20584 20916 23157 23436 30876 31374 36022 41832 46314 46872 54033 61752 62748 69471 72044 92628 108066 125496 138942 144088 162099 185256 216132 277884 324198 432264 486297 555768 648396 972594 1296792 1945188 3890376