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1345534008 = 2337133716651
BaseRepresentation
bin101000000110011…
…0011100000111000
310110202212012122220
41100030303200320
510223424042013
6341303244040
745225564450
oct12014634070
93422765586
101345534008
11630578685
12316749620
131859bb690
14ca9b4d60
157d1d6b23
hex50333838

1345534008 has 128 divisors (see below), whose sum is σ = 4252254720. Its totient is φ = 345254400.

The previous prime is 1345533977. The next prime is 1345534009. The reversal of 1345534008 is 8004355431.

It is a self number, because there is not a number n which added to its sum of digits gives 1345534008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345534009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72483 + ... + 89133.

It is an arithmetic number, because the mean of its divisors is an integer number (33220740).

Almost surely, 21345534008 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 1345534008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126127360).

1345534008 is an abundant number, since it is smaller than the sum of its proper divisors (2906720712).

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

1345534008 is a wasteful number, since it uses less digits than its factorization.

1345534008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16717 (or 16713 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1345534008 is about 36681.5213424961. The cubic root of 1345534008 is about 1103.9893731911.

Adding to 1345534008 its reverse (8004355431), we get a palindrome (9349889439).

The spelling of 1345534008 in words is "one billion, three hundred forty-five million, five hundred thirty-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1443 1554 1924 2072 2184 2886 3108 3367 3848 5772 6216 6734 10101 11544 13468 16651 20202 26936 33302 40404 49953 66604 80808 99906 116557 133208 199812 216463 233114 349671 399624 432926 466228 616087 649389 699342 865852 932456 1232174 1298778 1398684 1515241 1731704 1848261 2464348 2597556 2797368 3030482 3696522 4312609 4545723 4928696 5195112 6060964 7393044 8009131 8625218 9091446 12121928 12937827 14786088 16018262 17250436 18182892 24027393 25875654 32036524 34500872 36365784 48054786 51751308 56063917 64073048 96109572 103502616 112127834 168191751 192219144 224255668 336383502 448511336 672767004 1345534008