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3980430 = 232547941
BaseRepresentation
bin1111001011110010001110
321111020010100
433023302032
52004333210
6221151530
745555516
oct17136216
97436110
103980430
112279613
1213bb5a6
13a949ac
14758846
155395c0
hex3cbc8e

3980430 has 48 divisors (see below), whose sum is σ = 10580544. Its totient is φ = 1037760.

The previous prime is 3980429. The next prime is 3980461. The reversal of 3980430 is 340893.

It is a junction number, because it is equal to n+sod(n) for n = 3980394 and 3980403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3760 + ... + 4700.

It is an arithmetic number, because the mean of its divisors is an integer number (220428).

Almost surely, 23980430 is an apocalyptic number.

3980430 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 3980430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290272).

3980430 is an abundant number, since it is smaller than the sum of its proper divisors (6600114).

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

3980430 is a wasteful number, since it uses less digits than its factorization.

3980430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 998 counting only the distinct ones).

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

The square root of 3980430 is about 1995.1015011773. The cubic root of 3980430 is about 158.4808032027.

The spelling of 3980430 in words is "three million, nine hundred eighty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 941 1410 1882 2115 2823 4230 4705 5646 8469 9410 14115 16938 28230 42345 44227 84690 88454 132681 221135 265362 398043 442270 663405 796086 1326810 1990215 3980430