Search a number
-
+
428111304 = 23320898539
BaseRepresentation
bin11001100001000…
…111010111001000
31002211120022022020
4121201013113020
51334044030204
6110251524440
713415612625
oct3141072710
91084508266
10428111304
111aa7263a5
12bb459720
136a9049ca
1440c0134c
15278b7bd9
hex198475c8

428111304 has 32 divisors (see below), whose sum is σ = 1070916000. Its totient is φ = 142618752.

The previous prime is 428111303. The next prime is 428111309. The reversal of 428111304 is 403111824.

It is a super-2 number, since 2×4281113042 = 366558577225160832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (428111303) by changing a digit.

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, 45867 + ... + 54405.

It is an arithmetic number, because the mean of its divisors is an integer number (33466125).

Almost surely, 2428111304 is an apocalyptic number.

It is an amenable number.

428111304 is an abundant number, since it is smaller than the sum of its proper divisors (642804696).

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

428111304 is a wasteful number, since it uses less digits than its factorization.

428111304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637 (or 10633 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 428111304 is about 20690.8507316640. The cubic root of 428111304 is about 753.6775258211.

The spelling of 428111304 in words is "four hundred twenty-eight million, one hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 2089 4178 6267 8356 8539 12534 16712 17078 25068 25617 34156 50136 51234 68312 102468 204936 17837971 35675942 53513913 71351884 107027826 142703768 214055652 428111304