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305413040 = 24519719379
BaseRepresentation
bin10010001101000…
…011101110110000
3210021200120221002
4102031003232300
51111141204130
650150021132
710365653012
oct2215035660
9707616832
10305413040
11147441379
12863477a8
134b37489a
142c7c21b2
151bc2cb45
hex12343bb0

305413040 has 40 divisors (see below), whose sum is σ = 713726640. Its totient is φ = 121538816.

The previous prime is 305413039. The next prime is 305413057. The reversal of 305413040 is 40314503.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 6071 + ... + 25449.

It is an arithmetic number, because the mean of its divisors is an integer number (17843166).

Almost surely, 2305413040 is an apocalyptic number.

It is an amenable number.

305413040 is an abundant number, since it is smaller than the sum of its proper divisors (408313600).

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

305413040 is a wasteful number, since it uses less digits than its factorization.

305413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19589 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 305413040 is about 17476.0704965390. The cubic root of 305413040 is about 673.4352708676.

Adding to 305413040 its reverse (40314503), we get a palindrome (345727543).

The spelling of 305413040 in words is "three hundred five million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 394 788 985 1576 1970 3152 3940 7880 15760 19379 38758 77516 96895 155032 193790 310064 387580 775160 1550320 3817663 7635326 15270652 19088315 30541304 38176630 61082608 76353260 152706520 305413040