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305480484 = 22349712
BaseRepresentation
bin10010001101010…
…100001100100100
3210021211000110000
4102031110030210
51111200333414
650151301300
710366353441
oct2215241444
9707730400
10305480484
11147488011
128637a830
134b3994aa
142c7dc9c8
151bc42b09
hex12354324

305480484 has 45 divisors (see below), whose sum is σ = 799409611. Its totient is φ = 101721960.

The previous prime is 305480467. The next prime is 305480551. The reversal of 305480484 is 484084503.

The square root of 305480484 is 17478.

It is a perfect power (a square), and thus also a powerful number.

305480484 is a `hidden beast` number, since 30 + 548 + 0 + 4 + 84 = 666.

It is a super-2 number, since 2×3054804842 = 186636652209748512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 314119 + ... + 315089.

Almost surely, 2305480484 is an apocalyptic number.

305480484 is the 17478-th square number.

It is an amenable number.

305480484 is an abundant number, since it is smaller than the sum of its proper divisors (493929127).

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

305480484 is an frugal number, since it uses more digits than its factorization.

305480484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The cubic root of 305480484 is about 673.4848385236.

Multiplying 305480484 by its sum of digits (36), we get a square (10997297424 = 1048682).

305480484 divided by its sum of digits (36) gives a square (8485569 = 29132).

It can be divided in two parts, 3054 and 80484, that added together give a palindrome (83538).

The spelling of 305480484 in words is "three hundred five million, four hundred eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 971 1942 2913 3884 5826 8739 11652 17478 26217 34956 52434 78651 104868 157302 314604 942841 1885682 2828523 3771364 5657046 8485569 11314092 16971138 25456707 33942276 50913414 76370121 101826828 152740242 305480484