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428274330 = 235111379473
BaseRepresentation
bin11001100001101…
…111001010011010
31002211212120221020
4121201233022122
51334114234310
6110255223310
713420162131
oct3141571232
91084776836
10428274330
111aa827930
12bb517b36
136a960c83
1440c44918
15278eb170
hex1986f29a

428274330 has 64 divisors (see below), whose sum is σ = 1129603968. Its totient is φ = 103055360.

The previous prime is 428274323. The next prime is 428274337. The reversal of 428274330 is 33472824.

It is an interprime number because it is at equal distance from previous prime (428274323) and next prime (428274337).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 428274291 and 428274300.

It is not an unprimeable number, because it can be changed into a prime (428274337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40474 + ... + 49946.

It is an arithmetic number, because the mean of its divisors is an integer number (17650062).

Almost surely, 2428274330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428274330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564801984).

428274330 is an abundant number, since it is smaller than the sum of its proper divisors (701329638).

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

428274330 is a wasteful number, since it uses less digits than its factorization.

428274330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9631.

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 428274330 is about 20694.7899240364. The cubic root of 428274330 is about 753.7731811940.

The spelling of 428274330 in words is "four hundred twenty-eight million, two hundred seventy-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 137 165 274 330 411 685 822 1370 1507 2055 3014 4110 4521 7535 9042 9473 15070 18946 22605 28419 45210 47365 56838 94730 104203 142095 208406 284190 312609 521015 625218 1042030 1297801 1563045 2595602 3126090 3893403 6489005 7786806 12978010 14275811 19467015 28551622 38934030 42827433 71379055 85654866 142758110 214137165 428274330