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1345793346 = 233611273217
BaseRepresentation
bin101000000110111…
…0010110101000010
310110210100101102000
41100031302311002
510224010341341
6341313004430
745231024522
oct12015626502
93423311360
101345793346
11630735507
12316853716
13185a7c731
14caa41682
157d2388b6
hex50372d42

1345793346 has 64 divisors (see below), whose sum is σ = 3064565760. Its totient is φ = 437633280.

The previous prime is 1345793329. The next prime is 1345793357. The reversal of 1345793346 is 6433975431.

1345793346 is a `hidden beast` number, since 1 + 3 + 4 + 579 + 33 + 46 = 666.

It is a super-2 number, since 2×13457933462 = 3622319460275751432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416730 + ... + 419946.

It is an arithmetic number, because the mean of its divisors is an integer number (47883840).

Almost surely, 21345793346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345793346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532282880).

1345793346 is an abundant number, since it is smaller than the sum of its proper divisors (1718772414).

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

1345793346 is a wasteful number, since it uses less digits than its factorization.

1345793346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3410 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 1345793346 is about 36685.0561673279. The cubic root of 1345793346 is about 1104.0602962106.

The spelling of 1345793346 in words is "one billion, three hundred forty-five million, seven hundred ninety-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 61 122 127 183 254 366 381 549 762 1098 1143 1647 2286 3217 3294 3429 6434 6858 7747 9651 15494 19302 23241 28953 46482 57906 69723 86859 139446 173718 196237 209169 392474 408559 418338 588711 817118 1177422 1225677 1766133 2451354 3532266 3677031 5298399 7354062 10596798 11031093 22062186 24922099 49844198 74766297 149532594 224298891 448597782 672896673 1345793346