Search a number
-
+
31450320 = 24325112192
BaseRepresentation
bin111011111111…
…0010011010000
32012011211201200
41313332103100
531022402240
63042031200
7531215616
oct167762320
965154650
1031450320
1116831100
12a648500
136692175
1442696b6
152b63930
hex1dfe4d0

31450320 has 270 divisors, whose sum is σ = 122527314. Its totient is φ = 7223040.

The previous prime is 31450313. The next prime is 31450351. The reversal of 31450320 is 2305413.

It can be written as a sum of positive squares in only one way, i.e., 25160256 + 6290064 = 5016^2 + 2508^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31450293 and 31450302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1655271 + ... + 1655289.

Almost surely, 231450320 is an apocalyptic number.

31450320 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 31450320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61263657).

31450320 is an abundant number, since it is smaller than the sum of its proper divisors (91076994).

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

31450320 is a wasteful number, since it uses less digits than its factorization.

31450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 31450320 is about 5608.0584875695. The cubic root of 31450320 is about 315.6518624982.

Adding to 31450320 its reverse (2305413), we get a palindrome (33755733).

The spelling of 31450320 in words is "thirty-one million, four hundred fifty thousand, three hundred twenty".