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31416644 = 2272891801
BaseRepresentation
bin111011111011…
…0000101000100
32012010010112102
41313312011010
531020313034
63041211232
7531015500
oct167660504
965103472
1031416644
1116808876
12a630b18
13667ca3c
14425b300
152b5897e
hex1df6144

31416644 has 36 divisors (see below), whose sum is σ = 64709820. Its totient is φ = 13305600.

The previous prime is 31416611. The next prime is 31416659. The reversal of 31416644 is 44661413.

It can be written as a sum of positive squares in 2 ways, for example, as 5017600 + 26399044 = 2240^2 + 5138^2 .

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 11 ways as a sum of consecutive naturals, for example, 16544 + ... + 18344.

It is an arithmetic number, because the mean of its divisors is an integer number (1797495).

Almost surely, 231416644 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 31416644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32354910).

31416644 is an abundant number, since it is smaller than the sum of its proper divisors (33293176).

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

31416644 is a wasteful number, since it uses less digits than its factorization.

31416644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1899 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 31416644 is about 5605.0552182829. The cubic root of 31416644 is about 315.5391589451.

The spelling of 31416644 in words is "thirty-one million, four hundred sixteen thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 1801 2492 3602 4361 7204 8722 12607 17444 25214 50428 88249 160289 176498 320578 352996 641156 1122023 2244046 4488092 7854161 15708322 31416644