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661334346 = 2323141137211
BaseRepresentation
bin100111011010110…
…010100101001010
31201002102021011200
4213122302211022
52323300144341
6145342405030
722250151321
oct4732624512
91632367150
10661334346
1130a340312
12165590776
13a7021cca
1463b910b8
153d0d5db6
hex276b294a

661334346 has 96 divisors (see below), whose sum is σ = 1533482496. Its totient is φ = 205632000.

The previous prime is 661334327. The next prime is 661334369. The reversal of 661334346 is 643433166.

661334346 is a `hidden beast` number, since 6 + 613 + 3 + 4 + 34 + 6 = 666.

661334346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 661334346.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3134181 + ... + 3134391.

It is an arithmetic number, because the mean of its divisors is an integer number (15973776).

Almost surely, 2661334346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661334346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766741248).

661334346 is an abundant number, since it is smaller than the sum of its proper divisors (872148150).

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

661334346 is a wasteful number, since it uses less digits than its factorization.

661334346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 661334346 is about 25716.4217184273. The cubic root of 661334346 is about 871.2451216426.

The spelling of 661334346 in words is "six hundred sixty-one million, three hundred thirty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 31 41 62 82 93 123 137 186 211 246 274 279 369 411 422 558 633 738 822 1233 1266 1271 1899 2466 2542 3798 3813 4247 5617 6541 7626 8494 8651 11234 11439 12741 13082 16851 17302 19623 22878 25482 25953 28907 33702 38223 39246 50553 51906 57814 58869 76446 77859 86721 101106 117738 155718 173442 174127 260163 268181 348254 520326 522381 536362 804543 896117 1044762 1185187 1567143 1609086 1792234 2370374 2413629 2688351 3134286 3555561 4827258 5376702 7111122 8065053 10666683 16130106 21333366 36740797 73481594 110222391 220444782 330667173 661334346