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20304400 = 2452232207
BaseRepresentation
bin100110101110…
…1001000010000
31102012120101211
41031131020100
520144220100
62003105504
7334404334
oct115351020
942176354
1020304400
1110508aa6
126972294
13428bb4c
1429a77c4
151bb11ba
hex135d210

20304400 has 60 divisors (see below), whose sum is σ = 50925312. Its totient is φ = 7765120.

The previous prime is 20304313. The next prime is 20304413. The reversal of 20304400 is 440302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8097 + ... + 10303.

Almost surely, 220304400 is an apocalyptic number.

20304400 is a gapful number since it is divisible by the number (20) 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 20304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25462656).

20304400 is an abundant number, since it is smaller than the sum of its proper divisors (30620912).

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

20304400 is a wasteful number, since it uses less digits than its factorization.

20304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 20304400 is about 4506.0403904093. The cubic root of 20304400 is about 272.8119481183.

Adding to 20304400 its reverse (440302), we get a palindrome (20744702).

The spelling of 20304400 in words is "twenty million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2207 2300 4414 4600 8828 9200 11035 17656 22070 35312 44140 50761 55175 88280 101522 110350 176560 203044 220700 253805 406088 441400 507610 812176 882800 1015220 1269025 2030440 2538050 4060880 5076100 10152200 20304400