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31014450 = 23252413
BaseRepresentation
bin111011001001…
…1111000110010
32011100200211100
41312103320302
530414430300
63024425230
7524422065
oct166237062
964320740
1031014450
1116563685
12a478216
13656b95c
1441948dc
152ac9700
hex1d93e32

31014450 has 72 divisors (see below), whose sum is σ = 85408596. Its totient is φ = 8068800.

The previous prime is 31014449. The next prime is 31014457. The reversal of 31014450 is 5441013.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9753129 + 21261321 = 3123^2 + 4611^2 .

It is a super-2 number, since 2×310144502 = 1923792217605000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31014457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 756430 + ... + 756470.

Almost surely, 231014450 is an apocalyptic number.

31014450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31014450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42704298).

31014450 is an abundant number, since it is smaller than the sum of its proper divisors (54394146).

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

31014450 is an equidigital number, since it uses as much as digits as its factorization.

31014450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 31014450 is about 5569.0618599545. The cubic root of 31014450 is about 314.1868672814.

Adding to 31014450 its reverse (5441013), we get a palindrome (36455463).

The spelling of 31014450 in words is "thirty-one million, fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1681 1845 2050 3075 3362 3690 5043 6150 8405 9225 10086 15129 16810 18450 25215 30258 42025 50430 68921 75645 84050 126075 137842 151290 206763 252150 344605 378225 413526 620289 689210 756450 1033815 1240578 1723025 2067630 3101445 3446050 5169075 6202890 10338150 15507225 31014450