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320113944 = 23341729059
BaseRepresentation
bin10011000101001…
…000110100011000
3211022100110210000
4103011020310120
51123422121234
651433053000
710634631543
oct2305106430
9738313700
10320113944
11154772387
128b257160
1351421047
143072b85a
151d183899
hex13148d18

320113944 has 80 divisors (see below), whose sum is σ = 949390200. Its totient is φ = 100424448.

The previous prime is 320113921. The next prime is 320113949. The reversal of 320113944 is 449311023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320113949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3514 + ... + 25545.

Almost surely, 2320113944 is an apocalyptic number.

320113944 is a gapful number since it is divisible by the number (34) 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 320113944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474695100).

320113944 is an abundant number, since it is smaller than the sum of its proper divisors (629276256).

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

320113944 is a wasteful number, since it uses less digits than its factorization.

320113944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29094 (or 29081 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 320113944 is about 17891.7283681594. The cubic root of 320113944 is about 684.0715529948.

Adding to 320113944 its reverse (449311023), we get a palindrome (769424967).

The spelling of 320113944 in words is "three hundred twenty million, one hundred thirteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 29059 58118 87177 116236 174354 232472 261531 348708 494003 523062 697416 784593 988006 1046124 1482009 1569186 1976012 2092248 2353779 2964018 3138372 3952024 4446027 4707558 5928036 6276744 8892054 9415116 11856072 13338081 17784108 18830232 26676162 35568216 40014243 53352324 80028486 106704648 160056972 320113944