Search a number
-
+
300405420 = 223257238417
BaseRepresentation
bin10001111001111…
…101001010101100
3202221021011202200
4101321331022230
51103400433140
645450421500
710305255360
oct2171751254
9687234680
10300405420
11144631047
1284731890
134a3104b3
142bc7b2a0
151b58e030
hex11e7d2ac

300405420 has 72 divisors (see below), whose sum is σ = 1041409824. Its totient is φ = 68663808.

The previous prime is 300405379. The next prime is 300405433. The reversal of 300405420 is 24504003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300405393 and 300405402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117949 + ... + 120468.

Almost surely, 2300405420 is an apocalyptic number.

300405420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300405420 is an abundant number, since it is smaller than the sum of its proper divisors (741004404).

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

300405420 is a wasteful number, since it uses less digits than its factorization.

300405420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238439 (or 238434 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 300405420 is about 17332.2075916486. The cubic root of 300405420 is about 669.7343715722.

Adding to 300405420 its reverse (24504003), we get a palindrome (324909423).

The spelling of 300405420 in words is "three hundred million, four hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 238417 476834 715251 953668 1192085 1430502 1668919 2145753 2384170 2861004 3337838 3576255 4291506 4768340 5006757 6675676 7152510 8344595 8583012 10013514 10728765 14305020 15020271 16689190 20027028 21457530 25033785 30040542 33378380 42915060 50067570 60081084 75101355 100135140 150202710 300405420