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40311324 = 22331272939
BaseRepresentation
bin1001100111000…
…1101000011100
32210212000202000
42121301220130
540304430244
64000002300
7666432504
oct231615034
983760660
1040311324
1120833549
1211600390
138475471
1454d4a04
153814169
hex2671a1c

40311324 has 48 divisors (see below), whose sum is σ = 105369600. Its totient is φ = 13326768.

The previous prime is 40311319. The next prime is 40311371. The reversal of 40311324 is 42311304.

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

It is a junction number, because it is equal to n+sod(n) for n = 40311297 and 40311306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12247 + ... + 15185.

It is an arithmetic number, because the mean of its divisors is an integer number (2195200).

Almost surely, 240311324 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 40311324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52684800).

40311324 is an abundant number, since it is smaller than the sum of its proper divisors (65058276).

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

40311324 is a wasteful number, since it uses less digits than its factorization.

40311324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40311324 is about 6349.1199390152. The cubic root of 40311324 is about 342.8801582764.

Adding to 40311324 its reverse (42311304), we get a palindrome (82622628).

It can be divided in two parts, 40 and 311324, that added together give a square (311364 = 5582).

The spelling of 40311324 in words is "forty million, three hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2286 2939 3429 4572 5878 6858 8817 11756 13716 17634 26451 35268 52902 79353 105804 158706 317412 373253 746506 1119759 1493012 2239518 3359277 4479036 6718554 10077831 13437108 20155662 40311324