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343300020 = 223577311197
BaseRepresentation
bin10100011101100…
…101011110110100
3212220222110002120
4110131211132310
51200341100040
654022035540
711336000460
oct2435453664
9786873076
10343300020
11166869428
1296b78bb0
135617b70b
14338454a0
15202137d0
hex147657b4

343300020 has 96 divisors (see below), whose sum is σ = 1113708288. Its totient is φ = 77386752.

The previous prime is 343300007. The next prime is 343300021. The reversal of 343300020 is 20003343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343300021) 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, 25062 + ... + 36258.

It is an arithmetic number, because the mean of its divisors is an integer number (11601128).

Almost surely, 2343300020 is an apocalyptic number.

343300020 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 343300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556854144).

343300020 is an abundant number, since it is smaller than the sum of its proper divisors (770408268).

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

343300020 is a wasteful number, since it uses less digits than its factorization.

343300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11289 (or 11287 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 343300020 is about 18528.3571856762. The cubic root of 343300020 is about 700.2040357600.

Adding to 343300020 its reverse (20003343), we get a palindrome (363303363).

The spelling of 343300020 in words is "three hundred forty-three million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 140 146 210 219 292 365 420 438 511 730 876 1022 1095 1460 1533 2044 2190 2555 3066 4380 5110 6132 7665 10220 11197 15330 22394 30660 33591 44788 55985 67182 78379 111970 134364 156758 167955 223940 235137 313516 335910 391895 470274 671820 783790 817381 940548 1175685 1567580 1634762 2351370 2452143 3269524 4086905 4702740 4904286 5721667 8173810 9808572 11443334 12260715 16347620 17165001 22886668 24521430 28608335 34330002 49042860 57216670 68660004 85825005 114433340 171650010 343300020