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320374764 = 22343792609
BaseRepresentation
bin10011000110001…
…000011111101100
3211022211201120000
4103012020133230
51124003443024
651442424300
710640066133
oct2306103754
9738751500
10320374764
11154930336
128b362090
13514b2988
143079891a
151d1d5cc9
hex131887ec

320374764 has 60 divisors (see below), whose sum is σ = 840054600. Its totient is φ = 106468992.

The previous prime is 320374763. The next prime is 320374781. The reversal of 320374764 is 467473023.

It is a happy number.

320374764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (320374763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121492 + ... + 124100.

It is an arithmetic number, because the mean of its divisors is an integer number (14000910).

Almost surely, 2320374764 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 320374764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420027300).

320374764 is an abundant number, since it is smaller than the sum of its proper divisors (519679836).

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

320374764 is a wasteful number, since it uses less digits than its factorization.

320374764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 320374764 is about 17899.0157271287. The cubic root of 320374764 is about 684.2572900952.

The spelling of 320374764 in words is "three hundred twenty million, three hundred seventy-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 379 758 1137 1516 2274 2609 3411 4548 5218 6822 7827 10233 10436 13644 15654 20466 23481 30699 31308 40932 46962 61398 70443 93924 122796 140886 211329 281772 422658 845316 988811 1977622 2966433 3955244 5932866 8899299 11865732 17798598 26697897 35597196 53395794 80093691 106791588 160187382 320374764