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426461340 = 2235107181367
BaseRepresentation
bin11001011010110…
…100100010011100
31002201110110222110
4121122310202130
51333133230330
6110152314020
713365601344
oct3132644234
91081413873
10426461340
111a97a9798
12ba9a2910
136a4779b6
14408d1d24
152768ddb0
hex196b489c

426461340 has 96 divisors (see below), whose sum is σ = 1215212544. Its totient is φ = 111732480.

The previous prime is 426461339. The next prime is 426461341. The reversal of 426461340 is 43164624.

It is an interprime number because it is at equal distance from previous prime (426461339) and next prime (426461341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 426461298 and 426461307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426461341) 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, 1161837 + ... + 1162203.

It is an arithmetic number, because the mean of its divisors is an integer number (12658464).

Almost surely, 2426461340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426461340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607606272).

426461340 is an abundant number, since it is smaller than the sum of its proper divisors (788751204).

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

426461340 is a wasteful number, since it uses less digits than its factorization.

426461340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 426461340 is about 20650.9404144218. The cubic root of 426461340 is about 752.7080413586.

The spelling of 426461340 in words is "four hundred twenty-six million, four hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 181 214 321 362 367 428 535 543 642 724 734 905 1070 1086 1101 1284 1468 1605 1810 1835 2140 2172 2202 2715 3210 3620 3670 4404 5430 5505 6420 7340 10860 11010 19367 22020 38734 39269 58101 66427 77468 78538 96835 116202 117807 132854 157076 193670 196345 199281 232404 235614 265708 290505 332135 387340 392690 398562 471228 581010 589035 664270 785380 797124 996405 1162020 1178070 1328540 1992810 2356140 3985620 7107689 14215378 21323067 28430756 35538445 42646134 71076890 85292268 106615335 142153780 213230670 426461340