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1345668084 = 2232192323719
BaseRepresentation
bin101000000110101…
…0100001111110100
310110210010000120200
41100031110033310
510223442334314
6341310200500
745226663365
oct12015241764
93423100520
101345668084
1163065a392
123167b3130
13185a37707
14caa0bb6c
157d211709
hex503543f4

1345668084 has 108 divisors (see below), whose sum is σ = 3744031200. Its totient is φ = 406362528.

The previous prime is 1345668083. The next prime is 1345668091. The reversal of 1345668084 is 4808665431.

1345668084 is a `hidden beast` number, since 1 + 3 + 4 + 566 + 8 + 0 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345668083) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 359977 + ... + 363695.

Almost surely, 21345668084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345668084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872015600).

1345668084 is an abundant number, since it is smaller than the sum of its proper divisors (2398363116).

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

1345668084 is a wasteful number, since it uses less digits than its factorization.

1345668084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1345668084 is about 36683.3488656638. The cubic root of 1345668084 is about 1104.0260410524.

The spelling of 1345668084 in words is "one billion, three hundred forty-five million, six hundred sixty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 529 684 828 874 1058 1311 1587 1748 2116 2622 3174 3719 3933 4761 5244 6348 7438 7866 9522 10051 11157 14876 15732 19044 20102 22314 30153 33471 40204 44628 60306 66942 70661 85537 90459 120612 133884 141322 171074 180918 211983 256611 282644 342148 361836 423966 513222 635949 769833 847932 1026444 1271898 1539666 1625203 1967351 2543796 3079332 3250406 3934702 4875609 5902053 6500812 7869404 9751218 11804106 14626827 17706159 19502436 23608212 29253654 35412318 37379669 58507308 70824636 74759338 112139007 149518676 224278014 336417021 448556028 672834042 1345668084