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31444440 = 2335673911
BaseRepresentation
bin111011111110…
…0110111011000
32012011112122220
41313330313120
531022210230
63041544040
7531162516
oct167746730
965145586
1031444440
1116827745
12a645020
13668c5a1
1442674b6
152b61d10
hex1dfcdd8

31444440 has 64 divisors (see below), whose sum is σ = 95765760. Its totient is φ = 8257920.

The previous prime is 31444403. The next prime is 31444453. The reversal of 31444440 is 4444413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31444440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6085 + ... + 9995.

It is an arithmetic number, because the mean of its divisors is an integer number (1496340).

Almost surely, 231444440 is an apocalyptic number.

31444440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47882880).

31444440 is an abundant number, since it is smaller than the sum of its proper divisors (64321320).

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

31444440 is a wasteful number, since it uses less digits than its factorization.

31444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 31444440 is about 5607.5342174614. The cubic root of 31444440 is about 315.6321896869.

Adding to 31444440 its reverse (4444413), we get a palindrome (35888853).

The spelling of 31444440 in words is "thirty-one million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 3911 4020 7822 8040 11733 15644 19555 23466 31288 39110 46932 58665 78220 93864 117330 156440 234660 262037 469320 524074 786111 1048148 1310185 1572222 2096296 2620370 3144444 3930555 5240740 6288888 7861110 10481480 15722220 31444440