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31450240 = 275157313
BaseRepresentation
bin111011111111…
…0010010000000
32012011211121201
41313332102000
531022401430
63042030544
7531215443
oct167762200
965154551
1031450240
1116831038
12a648454
136692113
14426965a
152b638ca
hex1dfe480

31450240 has 64 divisors (see below), whose sum is σ = 75906360. Its totient is φ = 12460032.

The previous prime is 31450219. The next prime is 31450247. The reversal of 31450240 is 4205413.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 19998784 = 3384^2 + 4472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (31450247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 100324 + ... + 100636.

Almost surely, 231450240 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 31450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37953180).

31450240 is an abundant number, since it is smaller than the sum of its proper divisors (44456120).

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

31450240 is a wasteful number, since it uses less digits than its factorization.

31450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 31450240 is about 5608.0513549717. The cubic root of 31450240 is about 315.6515948574.

Adding to 31450240 its reverse (4205413), we get a palindrome (35655653).

The spelling of 31450240 in words is "thirty-one million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 313 314 320 626 628 640 785 1252 1256 1565 1570 2504 2512 3130 3140 5008 5024 6260 6280 10016 10048 12520 12560 20032 20096 25040 25120 40064 49141 50080 50240 98282 100160 100480 196564 200320 245705 393128 491410 786256 982820 1572512 1965640 3145024 3931280 6290048 7862560 15725120 31450240