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1345096746 = 233721721759
BaseRepresentation
bin101000000101100…
…1000110000101010
310110202000222212000
41100023020300222
510223321043441
6341250031430
745222063600
oct12013106052
93422028760
101345096746
116302aa104
12316578576
13185897646
14ca8dd870
157d14c2b6
hex502c8c2a

1345096746 has 144 divisors (see below), whose sum is σ = 3695788800. Its totient is φ = 361501056.

The previous prime is 1345096723. The next prime is 1345096777. The reversal of 1345096746 is 6476905431.

1345096746 is a `hidden beast` number, since 134 + 509 + 6 + 7 + 4 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 763815 + ... + 765573.

It is an arithmetic number, because the mean of its divisors is an integer number (25665200).

Almost surely, 21345096746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345096746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847894400).

1345096746 is an abundant number, since it is smaller than the sum of its proper divisors (2350692054).

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

1345096746 is a wasteful number, since it uses less digits than its factorization.

1345096746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 1345096746 is about 36675.5606092122. The cubic root of 1345096746 is about 1103.8697713826.

The spelling of 1345096746 in words is "one billion, three hundred forty-five million, ninety-six thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 289 294 306 357 378 441 459 578 714 833 867 882 918 1071 1323 1666 1734 1759 2023 2142 2499 2601 2646 3213 3518 4046 4998 5202 5277 6069 6426 7497 7803 10554 12138 12313 14161 14994 15606 15831 18207 22491 24626 28322 29903 31662 36414 36939 42483 44982 47493 54621 59806 73878 84966 86191 89709 94986 109242 110817 127449 172382 179418 209321 221634 254898 258573 269127 332451 382347 418642 508351 517146 538254 627963 664902 764694 775719 807381 1016702 1255926 1465247 1525053 1551438 1614762 1883889 2327157 2930494 3050106 3558457 3767778 4395741 4575159 4654314 5651667 7116914 8791482 9150318 10675371 11303334 13187223 13725477 21350742 24909199 26374446 27450954 32026113 39561669 49818398 64052226 74727597 79123338 96078339 149455194 192156678 224182791 448365582 672548373 1345096746