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332130420 = 2232510118269
BaseRepresentation
bin10011110010111…
…110100001110100
3212010221222021200
4103302332201310
51140011133140
652542412500
711142030156
oct2362764164
9763858250
10332130420
1116052a556
1293291130
1353a6a69b
1432178ad6
151e259030
hex13cbe874

332130420 has 72 divisors (see below), whose sum is σ = 1017492840. Its totient is φ = 87686400.

The previous prime is 332130371. The next prime is 332130433. The reversal of 332130420 is 24031233.

332130420 is a `hidden beast` number, since 33 + 213 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147768336 + 184362084 = 12156^2 + 13578^2 .

It is a super-2 number, since 2×3321304202 = 220621231778752800, which contains 22 as substring.

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 = 332130393 and 332130402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9046 + ... + 27314.

It is an arithmetic number, because the mean of its divisors is an integer number (14131845).

Almost surely, 2332130420 is an apocalyptic number.

332130420 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 332130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508746420).

332130420 is an abundant number, since it is smaller than the sum of its proper divisors (685362420).

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

332130420 is a wasteful number, since it uses less digits than its factorization.

332130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18385 (or 18380 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 332130420 is about 18224.4456705821. The cubic root of 332130420 is about 692.5262155185.

Adding to 332130420 its reverse (24031233), we get a palindrome (356161653).

The spelling of 332130420 in words is "three hundred thirty-two million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 18269 36538 54807 73076 91345 109614 164421 182690 219228 274035 328842 365380 548070 657684 822105 1096140 1644210 1845169 3288420 3690338 5535507 7380676 9225845 11071014 16606521 18451690 22142028 27677535 33213042 36903380 55355070 66426084 83032605 110710140 166065210 332130420