Search a number
-
+
428970312 = 233231192191
BaseRepresentation
bin11001100100011…
…001000101001000
31002220011221122100
4121210121011020
51334304022222
6110322153400
713426121211
oct3144310510
91086157570
10428970312
11200162821
12bb7b2860
136ab459b4
1440d86408
15279d74ac
hex19919148

428970312 has 48 divisors (see below), whose sum is σ = 1199278080. Its totient is φ = 138376800.

The previous prime is 428970301. The next prime is 428970317. The reversal of 428970312 is 213079824.

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

It is not an unprimeable number, because it can be changed into a prime (428970317) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93864 + ... + 98327.

It is an arithmetic number, because the mean of its divisors is an integer number (24984960).

Almost surely, 2428970312 is an apocalyptic number.

It is an amenable number.

428970312 is an abundant number, since it is smaller than the sum of its proper divisors (770307768).

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

428970312 is a wasteful number, since it uses less digits than its factorization.

428970312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192234 (or 192227 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 428970312 is about 20711.5984897352. The cubic root of 428970312 is about 754.1812752635.

The spelling of 428970312 in words is "four hundred twenty-eight million, nine hundred seventy thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 192191 384382 576573 768764 1153146 1537528 1729719 2306292 3459438 4612584 5957921 6918876 11915842 13837752 17873763 23831684 35747526 47663368 53621289 71495052 107242578 142990104 214485156 428970312