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426234424 = 237115411279
BaseRepresentation
bin11001011001111…
…101001000111000
31002201000221201011
4121121331020320
51333104000144
6110143403304
713363634650
oct3131751070
91081027634
10426234424
111a9664260
12ba8b3534
136a3c8625
1440873360
1527646a34
hex1967d238

426234424 has 64 divisors (see below), whose sum is σ = 999014400. Its totient is φ = 165628800.

The previous prime is 426234409. The next prime is 426234437. The reversal of 426234424 is 424432624.

It is a super-2 number, since 2×4262344242 = 363351568405223552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332617 + ... + 333895.

It is an arithmetic number, because the mean of its divisors is an integer number (15609600).

Almost surely, 2426234424 is an apocalyptic number.

426234424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499507200).

426234424 is an abundant number, since it is smaller than the sum of its proper divisors (572779976).

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

426234424 is a wasteful number, since it uses less digits than its factorization.

426234424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1840 counting only the distinct ones).

The product of its digits is 36864, while the sum is 31.

The square root of 426234424 is about 20645.4455994536. The cubic root of 426234424 is about 752.5745147566.

The spelling of 426234424 in words is "four hundred twenty-six million, two hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 541 616 1082 1279 2164 2558 3787 4328 5116 5951 7574 8953 10232 11902 14069 15148 17906 23804 28138 30296 35812 41657 47608 56276 71624 83314 98483 112552 166628 196966 333256 393932 691939 787864 1383878 2767756 4843573 5535512 7611329 9687146 15222658 19374292 30445316 38748584 53279303 60890632 106558606 213117212 426234424