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343411420 = 225117919759
BaseRepresentation
bin10100011110000…
…000101011011100
3212221012002220111
4110132000223130
51200403131140
654024255404
711336643322
oct2436005334
9787162814
10343411420
111669350a0
1297011564
13561ba331
1433873d12
15202367ea
hex14780adc

343411420 has 48 divisors (see below), whose sum is σ = 796723200. Its totient is φ = 123289920.

The previous prime is 343411399. The next prime is 343411427. The reversal of 343411420 is 24114343.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 343411391 and 343411400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343411427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7501 + ... + 27259.

It is an arithmetic number, because the mean of its divisors is an integer number (16598400).

Almost surely, 2343411420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398361600).

343411420 is an abundant number, since it is smaller than the sum of its proper divisors (453311780).

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

343411420 is a wasteful number, since it uses less digits than its factorization.

343411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19858 (or 19856 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 343411420 is about 18531.3631446799. The cubic root of 343411420 is about 700.2797657235.

Adding to 343411420 its reverse (24114343), we get a palindrome (367525763).

The spelling of 343411420 in words is "three hundred forty-three million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 17380 19759 39518 79036 98795 197590 217349 395180 434698 869396 1086745 1560961 2173490 3121922 4346980 6243844 7804805 15609610 17170571 31219220 34341142 68682284 85852855 171705710 343411420