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320421420 = 223451117981
BaseRepresentation
bin10011000110010…
…011111000101100
3211022221002120000
4103012103320230
51124011441140
651443424300
710640352144
oct2306237054
9738832500
10320421420
111549623a0
128b385090
13514cac97
14307ab924
151d1e4a30
hex13193e2c

320421420 has 120 divisors (see below), whose sum is σ = 1096614288. Its totient is φ = 77673600.

The previous prime is 320421391. The next prime is 320421433. The reversal of 320421420 is 24124023.

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 = 320421393 and 320421402.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8830 + ... + 26810.

Almost surely, 2320421420 is an apocalyptic number.

320421420 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 320421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548307144).

320421420 is an abundant number, since it is smaller than the sum of its proper divisors (776192868).

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

320421420 is a wasteful number, since it uses less digits than its factorization.

320421420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18013 (or 18002 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 320421420 is about 17900.3189915711. The cubic root of 320421420 is about 684.2905044867.

Adding to 320421420 its reverse (24124023), we get a palindrome (344545443).

The spelling of 320421420 in words is "three hundred twenty million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 17981 35962 53943 71924 89905 107886 161829 179810 197791 215772 269715 323658 359620 395582 485487 539430 593373 647316 791164 809145 970974 988955 1078860 1186746 1456461 1618290 1780119 1941948 1977910 2373492 2427435 2912922 2966865 3236580 3560238 3955820 4854870 5340357 5825844 5933730 7120476 7282305 8900595 9709740 10680714 11867460 14564610 16021071 17801190 21361428 26701785 29129220 32042142 35602380 53403570 64084284 80105355 106807140 160210710 320421420