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30345786 = 2332353461
BaseRepresentation
bin111001111000…
…0101000111010
32010002201121000
41303300220322
530232031121
63002225430
7515635452
oct163605072
963081530
1030345786
1116147269
12a1b5276
1363964b3
14405cd62
1529e6526
hex1cf0a3a

30345786 has 64 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 9472320.

The previous prime is 30345773. The next prime is 30345797. The reversal of 30345786 is 68754303.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30345786.

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 31 ways as a sum of consecutive naturals, for example, 65596 + ... + 66056.

It is an arithmetic number, because the mean of its divisors is an integer number (1122660).

Almost surely, 230345786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30345786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925120).

30345786 is an abundant number, since it is smaller than the sum of its proper divisors (41504454).

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

30345786 is a wasteful number, since it uses less digits than its factorization.

30345786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 30345786 is about 5508.7009357924. The cubic root of 30345786 is about 311.9125124523.

The spelling of 30345786 in words is "thirty million, three hundred forty-five thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 106 138 159 207 318 414 461 477 621 922 954 1219 1242 1383 1431 2438 2766 2862 3657 4149 7314 8298 10603 10971 12447 21206 21942 24433 24894 31809 32913 48866 63618 65826 73299 95427 146598 190854 219897 286281 439794 561959 572562 659691 1123918 1319382 1685877 3371754 5057631 10115262 15172893 30345786