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3890430 = 23551601
BaseRepresentation
bin1110110101110011111110
321022122200000
432311303332
51443443210
6215215130
745032235
oct16656376
97278600
103890430
112217a35
1213774a6
13a62a3b
14733b1c
1551cac0
hex3b5cfe

3890430 has 48 divisors (see below), whose sum is σ = 10496304. Its totient is φ = 1036800.

The previous prime is 3890429. The next prime is 3890431. The reversal of 3890430 is 340983.

It is an interprime number because it is at equal distance from previous prime (3890429) and next prime (3890431).

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

It is a junction number, because it is equal to n+sod(n) for n = 3890394 and 3890403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3890431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630 + ... + 3230.

It is an arithmetic number, because the mean of its divisors is an integer number (218673).

Almost surely, 23890430 is an apocalyptic number.

3890430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3890430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248152).

3890430 is an abundant number, since it is smaller than the sum of its proper divisors (6605874).

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

3890430 is a wasteful number, since it uses less digits than its factorization.

3890430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3890430 is about 1972.4172986465. The cubic root of 3890430 is about 157.2772360975.

The spelling of 3890430 in words is "three million, eight hundred ninety thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 1601 2430 3202 4803 8005 9606 14409 16010 24015 28818 43227 48030 72045 86454 129681 144090 216135 259362 389043 432270 648405 778086 1296810 1945215 3890430