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31340064 = 2537149313
BaseRepresentation
bin111011110001…
…1011000100000
32011222020111010
41313203120200
531010340224
63035420520
7530246310
oct167433040
964866433
1031340064
1116766288
12a5b4740
136653c22
14423b440
152b40e29
hex1de3620

31340064 has 96 divisors (see below), whose sum is σ = 94953600. Its totient is φ = 8865792.

The previous prime is 31340059. The next prime is 31340069. The reversal of 31340064 is 46004313.

It is an interprime number because it is at equal distance from previous prime (31340059) and next prime (31340069).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×313400642 = 1964399223048192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 31340064.

It is not an unprimeable number, because it can be changed into a prime (31340069) 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, 99972 + ... + 100284.

It is an arithmetic number, because the mean of its divisors is an integer number (989100).

Almost surely, 231340064 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 31340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47476800).

31340064 is an abundant number, since it is smaller than the sum of its proper divisors (63613536).

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

31340064 is a wasteful number, since it uses less digits than its factorization.

31340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 31340064 is about 5598.2197170172. The cubic root of 31340064 is about 315.2825683180.

Adding to 31340064 its reverse (46004313), we get a palindrome (77344377).

The spelling of 31340064 in words is "thirty-one million, three hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 149 168 224 298 313 336 447 596 626 672 894 939 1043 1192 1252 1788 1878 2086 2191 2384 2504 3129 3576 3756 4172 4382 4768 5008 6258 6573 7152 7512 8344 8764 10016 12516 13146 14304 15024 16688 17528 25032 26292 30048 33376 35056 46637 50064 52584 70112 93274 100128 105168 139911 186548 210336 279822 326459 373096 559644 652918 746192 979377 1119288 1305836 1492384 1958754 2238576 2611672 3917508 4477152 5223344 7835016 10446688 15670032 31340064