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1342781064 = 23353112221
BaseRepresentation
bin101000000001001…
…0011011010001000
310110120200100100000
41100002103122020
510222222443224
6341124243000
745163310412
oct12002233210
93416610300
101342781064
11629a68319
12315840460
13185266611
14ca4999b2
157cd410c9
hex50093688

1342781064 has 96 divisors (see below), whose sum is σ = 3785221440. Its totient is φ = 445953600.

The previous prime is 1342781051. The next prime is 1342781071. The reversal of 1342781064 is 4601872431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603474 + ... + 605694.

It is an arithmetic number, because the mean of its divisors is an integer number (39429390).

Almost surely, 21342781064 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 1342781064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892610720).

1342781064 is an abundant number, since it is smaller than the sum of its proper divisors (2442440376).

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

1342781064 is a wasteful number, since it uses less digits than its factorization.

1342781064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1342781064 is about 36643.9771858896. The cubic root of 1342781064 is about 1103.2359434508.

The spelling of 1342781064 in words is "one billion, three hundred forty-two million, seven hundred eighty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 311 324 486 622 648 933 972 1244 1866 1944 2221 2488 2799 3732 4442 5598 6663 7464 8397 8884 11196 13326 16794 17768 19989 22392 25191 26652 33588 39978 50382 53304 59967 67176 75573 79956 100764 119934 151146 159912 179901 201528 239868 302292 359802 479736 539703 604584 690731 719604 1079406 1381462 1439208 2072193 2158812 2762924 4144386 4317624 5525848 6216579 8288772 12433158 16577544 18649737 24866316 37299474 49732632 55949211 74598948 111898422 149197896 167847633 223796844 335695266 447593688 671390532 1342781064