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31314444 = 22371013691
BaseRepresentation
bin111011101110…
…1001000001100
32011220221100020
41313131020030
531004030234
63035102140
7530111520
oct167351014
964827306
1031314444
1116749007
12a5a1950
136645375
144231d80
152b38549
hex1ddd20c

31314444 has 48 divisors (see below), whose sum is σ = 84354816. Its totient is φ = 8856000.

The previous prime is 31314407. The next prime is 31314457. The reversal of 31314444 is 44441313.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6639 + ... + 10329.

It is an arithmetic number, because the mean of its divisors is an integer number (1757392).

Almost surely, 231314444 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 31314444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42177408).

31314444 is an abundant number, since it is smaller than the sum of its proper divisors (53040372).

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

31314444 is a wasteful number, since it uses less digits than its factorization.

31314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3804 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 31314444 is about 5595.9310217336. The cubic root of 31314444 is about 315.1966320811.

Adding to 31314444 its reverse (44441313), we get a palindrome (75755757).

The spelling of 31314444 in words is "thirty-one million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 3691 4242 7382 8484 11073 14764 22146 25837 44292 51674 77511 103348 155022 310044 372791 745582 1118373 1491164 2236746 2609537 4473492 5219074 7828611 10438148 15657222 31314444