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426345984 = 293330841
BaseRepresentation
bin11001011010011…
…000011000000000
31002201020121202000
4121122120120000
51333121032414
6110150024000
713364611131
oct3132303000
91081217660
10426345984
111a9730059
12ba948000
136a43733c
14408a1c88
1527669b09
hex19698600

426345984 has 80 divisors (see below), whose sum is σ = 1262054640. Its totient is φ = 142110720.

The previous prime is 426345971. The next prime is 426346027. The reversal of 426345984 is 489543624.

426345984 is a `hidden beast` number, since 4 + 2 + 634 + 5 + 9 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1597 + ... + 29244.

It is an arithmetic number, because the mean of its divisors is an integer number (15775683).

Almost surely, 2426345984 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 426345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631027320).

426345984 is an abundant number, since it is smaller than the sum of its proper divisors (835708656).

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

426345984 is an equidigital number, since it uses as much as digits as its factorization.

426345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30868 (or 30846 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 426345984 is about 20648.1472292310. The cubic root of 426345984 is about 752.6401671178.

The spelling of 426345984 in words is "four hundred twenty-six million, three hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 30841 61682 92523 123364 185046 246728 277569 370092 493456 555138 740184 832707 986912 1110276 1480368 1665414 1973824 2220552 2960736 3330828 3947648 4441104 5921472 6661656 7895296 8882208 11842944 13323312 15790592 17764416 23685888 26646624 35528832 47371776 53293248 71057664 106586496 142115328 213172992 426345984