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3386430 = 2325191197
BaseRepresentation
bin1100111010110000111110
320101001022100
430322300332
51331331210
6200325530
740532655
oct14726076
96331270
103386430
111a03303
1211738a6
13917508
1464219c
1546d5c0
hex33ac3e

3386430 has 48 divisors (see below), whose sum is σ = 8895744. Its totient is φ = 893760.

The previous prime is 3386419. The next prime is 3386431. The reversal of 3386430 is 346833.

It is a super-2 number, since 2×33864302 = 22935816289800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3386394 and 3386403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386431) by changing a digit.

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, 17092 + ... + 17288.

It is an arithmetic number, because the mean of its divisors is an integer number (185328).

Almost surely, 23386430 is an apocalyptic number.

3386430 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 3386430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447872).

3386430 is an abundant number, since it is smaller than the sum of its proper divisors (5509314).

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

3386430 is a wasteful number, since it uses less digits than its factorization.

3386430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3386430 is about 1840.2255296566. The cubic root of 3386430 is about 150.1691425337.

The spelling of 3386430 in words is "three million, three hundred eighty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 197 382 394 573 591 955 985 1146 1182 1719 1773 1910 1970 2865 2955 3438 3546 5730 5910 8595 8865 17190 17730 37627 75254 112881 188135 225762 338643 376270 564405 677286 1128810 1693215 3386430