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428341446 = 23121331
BaseRepresentation
bin11001100001111…
…111100011000110
31002212000000000000
4121201333203012
51334123411241
6110300502130
713420561611
oct3141774306
91085000000
10428341446
111aa8732a5
12bb54a946
136a9856a0
1440c61178
1527910eb6
hex1987f8c6

428341446 has 104 divisors (see below), whose sum is σ = 1071384384. Its totient is φ = 127545840.

The previous prime is 428341423. The next prime is 428341457. The reversal of 428341446 is 644143824.

It is a super-2 number, since 2×4283414462 = 366952788722741832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 428341446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 13817451 + ... + 13817481.

Almost surely, 2428341446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428341446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535692192).

428341446 is an abundant number, since it is smaller than the sum of its proper divisors (643042938).

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

428341446 is an frugal number, since it uses more digits than its factorization.

428341446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 428341446 is about 20696.4114280713. The cubic root of 428341446 is about 753.8125543985.

The spelling of 428341446 in words is "four hundred twenty-eight million, three hundred forty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 243 279 351 403 486 558 702 729 806 837 1053 1209 1458 1674 2106 2187 2418 2511 3159 3627 4374 5022 6318 6561 7254 7533 9477 10881 13122 15066 18954 19683 21762 22599 28431 32643 39366 45198 56862 59049 65286 67797 85293 97929 118098 135594 170586 177147 195858 203391 255879 293787 354294 406782 511758 531441 587574 610173 767637 881361 1062882 1220346 1535274 1762722 1830519 2302911 2644083 3661038 4605822 5288166 5491557 6908733 7932249 10983114 13817466 15864498 16474671 23796747 32949342 47593494 71390241 142780482 214170723 428341446