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31230816 = 2531013221
BaseRepresentation
bin111011100100…
…0101101100000
32011202200121220
41313020231200
530443341231
63033215040
7526312641
oct167105540
964680556
1031230816
11166a11a1
12a561480
136616296
14420d6c8
152b1d896
hex1dc8b60

31230816 has 48 divisors (see below), whose sum is σ = 82818288. Its totient is φ = 10304000.

The previous prime is 31230811. The next prime is 31230817. The reversal of 31230816 is 61803213.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31230811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8086 + ... + 11306.

It is an arithmetic number, because the mean of its divisors is an integer number (1725381).

Almost surely, 231230816 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 31230816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41409144).

31230816 is an abundant number, since it is smaller than the sum of its proper divisors (51587472).

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

31230816 is a wasteful number, since it uses less digits than its factorization.

31230816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 31230816 is about 5588.4538112075. The cubic root of 31230816 is about 314.9157950789.

The spelling of 31230816 in words is "thirty-one million, two hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3221 3232 4848 6442 9663 9696 12884 19326 25768 38652 51536 77304 103072 154608 309216 325321 650642 975963 1301284 1951926 2602568 3903852 5205136 7807704 10410272 15615408 31230816