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40014312 = 23313277463
BaseRepresentation
bin1001100010100…
…1000111101000
32210021221022120
42120221013220
540220424222
63545351240
7664054542
oct230510750
983257276
1040014312
1120650388
1211498520
1383a0210
145458692
1537a615c
hex26291e8

40014312 has 64 divisors (see below), whose sum is σ = 108353280. Its totient is φ = 12241152.

The previous prime is 40014283. The next prime is 40014313. The reversal of 40014312 is 21341004.

It is a super-2 number, since 2×400143122 = 3202290329666688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40014291 and 40014300.

It is not an unprimeable number, because it can be changed into a prime (40014313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86193 + ... + 86655.

It is an arithmetic number, because the mean of its divisors is an integer number (1693020).

Almost surely, 240014312 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 40014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54176640).

40014312 is an abundant number, since it is smaller than the sum of its proper divisors (68338968).

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

40014312 is a wasteful number, since it uses less digits than its factorization.

40014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40014312 is about 6325.6866820923. The cubic root of 40014312 is about 342.0359730978.

Adding to 40014312 its reverse (21341004), we get a palindrome (61355316).

The spelling of 40014312 in words is "forty million, fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 277 312 463 554 831 926 1108 1389 1662 1852 2216 2778 3324 3601 3704 5556 6019 6648 7202 10803 11112 12038 14404 18057 21606 24076 28808 36114 43212 48152 72228 86424 128251 144456 256502 384753 513004 769506 1026008 1539012 1667263 3078024 3334526 5001789 6669052 10003578 13338104 20007156 40014312