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1345651968 = 28329311949
BaseRepresentation
bin101000000110101…
…0000010100000000
310110210002012110210
41100031100110000
510223441330333
6341305554120
745226565403
oct12015202400
93423065423
101345651968
11630649271
123167a5940
13185a3028b
14caa05d3a
157d20ba63
hex50350500

1345651968 has 144 divisors (see below), whose sum is σ = 3826368000. Its totient is φ = 418897920.

The previous prime is 1345651963. The next prime is 1345651969. The reversal of 1345651968 is 8691565431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345651963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689458 + ... + 691406.

It is an arithmetic number, because the mean of its divisors is an integer number (26572000).

Almost surely, 21345651968 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 1345651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913184000).

1345651968 is an abundant number, since it is smaller than the sum of its proper divisors (2480716032).

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

1345651968 is a wasteful number, since it uses less digits than its factorization.

1345651968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2014 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 1345651968 is about 36683.1292013100. The cubic root of 1345651968 is about 1104.0216336866.

The spelling of 1345651968 in words is "one billion, three hundred forty-five million, six hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 174 186 192 232 248 256 348 372 384 464 496 696 744 768 899 928 992 1392 1488 1798 1856 1949 1984 2697 2784 2976 3596 3712 3898 3968 5394 5568 5847 5952 7192 7424 7796 7936 10788 11136 11694 11904 14384 15592 21576 22272 23388 23808 28768 31184 43152 46776 56521 57536 60419 62368 86304 93552 113042 115072 120838 124736 169563 172608 181257 187104 226084 230144 241676 249472 339126 345216 362514 374208 452168 483352 498944 678252 690432 725028 748416 904336 966704 1356504 1450056 1496832 1752151 1808672 1933408 2713008 2900112 3504302 3617344 3866816 5256453 5426016 5800224 7008604 7234688 7733632 10512906 10852032 11600448 14017208 14469376 15467264 21025812 21704064 23200896 28034416 42051624 43408128 46401792 56068832 84103248 112137664 168206496 224275328 336412992 448550656 672825984 1345651968