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320856420 = 223519833391
BaseRepresentation
bin10011000111111…
…110000101100100
3211100202012021010
4103013332011210
51124114401140
651501022220
710644143313
oct2307760544
9740665233
10320856420
1115512a1a5
128b554970
1351620c91
143088227a
151d27d880
hex131fe164

320856420 has 96 divisors (see below), whose sum is σ = 957358080. Its totient is φ = 80058240.

The previous prime is 320856409. The next prime is 320856421. The reversal of 320856420 is 24658023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (320856421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92925 + ... + 96315.

It is an arithmetic number, because the mean of its divisors is an integer number (9972480).

Almost surely, 2320856420 is an apocalyptic number.

320856420 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 320856420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478679040).

320856420 is an abundant number, since it is smaller than the sum of its proper divisors (636501660).

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

320856420 is a wasteful number, since it uses less digits than its factorization.

320856420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 320856420 is about 17912.4654919416. The cubic root of 320856420 is about 684.6000257917.

The spelling of 320856420 in words is "three hundred twenty million, eight hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 83 95 114 166 190 228 249 285 332 380 415 498 570 830 996 1140 1245 1577 1660 2490 3154 3391 4731 4980 6308 6782 7885 9462 10173 13564 15770 16955 18924 20346 23655 31540 33910 40692 47310 50865 64429 67820 94620 101730 128858 193287 203460 257716 281453 322145 386574 562906 644290 773148 844359 966435 1125812 1288580 1407265 1688718 1932870 2814530 3377436 3865740 4221795 5347607 5629060 8443590 10695214 16042821 16887180 21390428 26738035 32085642 53476070 64171284 80214105 106952140 160428210 320856420