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305012040 = 23353497283
BaseRepresentation
bin10010001011100…
…001110101001000
3210020221012212020
4102023201311020
51111040341130
650133244440
710362362634
oct2213416510
9706835766
10305012040
11147198073
1286193720
134b2641c8
142c719dc4
151bb9de10
hex122e1d48

305012040 has 64 divisors (see below), whose sum is σ = 917784000. Its totient is φ = 81092352.

The previous prime is 305012027. The next prime is 305012047. The reversal of 305012040 is 40210503.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (305012047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38239 + ... + 45521.

It is an arithmetic number, because the mean of its divisors is an integer number (14340375).

Almost surely, 2305012040 is an apocalyptic number.

305012040 is a gapful number since it is divisible by the number (30) 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 305012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458892000).

305012040 is an abundant number, since it is smaller than the sum of its proper divisors (612771960).

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

305012040 is a wasteful number, since it uses less digits than its factorization.

305012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7646 (or 7642 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 305012040 is about 17464.5938973685. The cubic root of 305012040 is about 673.1404069912.

Adding to 305012040 its reverse (40210503), we get a palindrome (345222543).

The spelling of 305012040 in words is "three hundred five million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 349 698 1047 1396 1745 2094 2792 3490 4188 5235 6980 7283 8376 10470 13960 14566 20940 21849 29132 36415 41880 43698 58264 72830 87396 109245 145660 174792 218490 291320 436980 873960 2541767 5083534 7625301 10167068 12708835 15250602 20334136 25417670 30501204 38126505 50835340 61002408 76253010 101670680 152506020 305012040