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426401346 = 237611491117
BaseRepresentation
bin11001011010100…
…101111001000010
31002201100102200110
4121122211321002
51333124320341
6110151132150
713365231420
oct3132457102
91081312613
10426401346
111a9768708
12ba974056
136a4565b7
14408b8110
152767b216
hex196a5e42

426401346 has 64 divisors (see below), whose sum is σ = 998150400. Its totient is φ = 118920960.

The previous prime is 426401329. The next prime is 426401369. The reversal of 426401346 is 643104624.

It is a super-2 number, since 2×4264013462 = 363636215741223432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381180 + ... + 382296.

It is an arithmetic number, because the mean of its divisors is an integer number (15596100).

Almost surely, 2426401346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426401346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499075200).

426401346 is an abundant number, since it is smaller than the sum of its proper divisors (571749054).

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

426401346 is a wasteful number, since it uses less digits than its factorization.

426401346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339.

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

The square root of 426401346 is about 20649.4877902577. The cubic root of 426401346 is about 752.6727430562.

The spelling of 426401346 in words is "four hundred twenty-six million, four hundred one thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 61 122 149 183 298 366 427 447 854 894 1043 1117 1281 2086 2234 2562 3129 3351 6258 6702 7819 9089 15638 18178 23457 27267 46914 54534 63623 68137 127246 136274 166433 190869 204411 332866 381738 408822 476959 499299 953918 998598 1165031 1430877 2330062 2861754 3495093 6990186 10152413 20304826 30457239 60914478 71066891 142133782 213200673 426401346